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Finding the Third Proportional to 30,966.75 and 49,213.13

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Solution

The third proportional to 30,966.75 and 49,213.13 is: 78,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.75 : 49,213.13 = 49,213.13 : x
  2. Step 2: Convert to fraction form
    30,966.75/49,213.13 = 49,213.13/x
  3. Step 3: Cross multiply
    30,966.75x = 49,213.13 × 49,213.13
  4. Step 4: Simplify right side
    30,966.75x = 2,421,931,672.27
  5. Step 5: Solve for x
    x = 2,421,931,672.27/30,966.75
  6. Step 6: Final answer
    x = 78,210.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.