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Finding the Third Proportional to 30,101.63 and 46,584

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Solution

The third proportional to 30,101.63 and 46,584 is: 72,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.63 : 46,584 = 46,584 : x
  2. Step 2: Convert to fraction form
    30,101.63/46,584 = 46,584/x
  3. Step 3: Cross multiply
    30,101.63x = 46,584 × 46,584
  4. Step 4: Simplify right side
    30,101.63x = 2,170,069,056
  5. Step 5: Solve for x
    x = 2,170,069,056/30,101.63
  6. Step 6: Final answer
    x = 72,091.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.