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Finding the Third Proportional to 29,740.50 and 61,947

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Solution

The third proportional to 29,740.50 and 61,947 is: 129,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740.50 : 61,947 = 61,947 : x
  2. Step 2: Convert to fraction form
    29,740.50/61,947 = 61,947/x
  3. Step 3: Cross multiply
    29,740.50x = 61,947 × 61,947
  4. Step 4: Simplify right side
    29,740.50x = 3,837,430,809
  5. Step 5: Solve for x
    x = 3,837,430,809/29,740.50
  6. Step 6: Final answer
    x = 129,030.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.