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Finding the Third Proportional to 30,304.13 and 49,485.94

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Solution

The third proportional to 30,304.13 and 49,485.94 is: 80,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.13 : 49,485.94 = 49,485.94 : x
  2. Step 2: Convert to fraction form
    30,304.13/49,485.94 = 49,485.94/x
  3. Step 3: Cross multiply
    30,304.13x = 49,485.94 × 49,485.94
  4. Step 4: Simplify right side
    30,304.13x = 2,448,858,010.25
  5. Step 5: Solve for x
    x = 2,448,858,010.25/30,304.13
  6. Step 6: Final answer
    x = 80,809.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.