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Finding the Third Proportional to 14,077.50 and 29,947

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Solution

The third proportional to 14,077.50 and 29,947 is: 63,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.50 : 29,947 = 29,947 : x
  2. Step 2: Convert to fraction form
    14,077.50/29,947 = 29,947/x
  3. Step 3: Cross multiply
    14,077.50x = 29,947 × 29,947
  4. Step 4: Simplify right side
    14,077.50x = 896,822,809
  5. Step 5: Solve for x
    x = 896,822,809/14,077.50
  6. Step 6: Final answer
    x = 63,706.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.