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Finding the Third Proportional to 29,711.50 and 64,754

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Solution

The third proportional to 29,711.50 and 64,754 is: 141,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.50 : 64,754 = 64,754 : x
  2. Step 2: Convert to fraction form
    29,711.50/64,754 = 64,754/x
  3. Step 3: Cross multiply
    29,711.50x = 64,754 × 64,754
  4. Step 4: Simplify right side
    29,711.50x = 4,193,080,516
  5. Step 5: Solve for x
    x = 4,193,080,516/29,711.50
  6. Step 6: Final answer
    x = 141,126.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.