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Finding the Third Proportional to 30,428 and 64,744

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Solution

The third proportional to 30,428 and 64,744 is: 137,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428 : 64,744 = 64,744 : x
  2. Step 2: Convert to fraction form
    30,428/64,744 = 64,744/x
  3. Step 3: Cross multiply
    30,428x = 64,744 × 64,744
  4. Step 4: Simplify right side
    30,428x = 4,191,785,536
  5. Step 5: Solve for x
    x = 4,191,785,536/30,428
  6. Step 6: Final answer
    x = 137,760.80

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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.