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Finding the Third Proportional to 64,488 and 72,484.50

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Solution

The third proportional to 64,488 and 72,484.50 is: 81,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,488 : 72,484.50 = 72,484.50 : x
  2. Step 2: Convert to fraction form
    64,488/72,484.50 = 72,484.50/x
  3. Step 3: Cross multiply
    64,488x = 72,484.50 × 72,484.50
  4. Step 4: Simplify right side
    64,488x = 5,254,002,740.25
  5. Step 5: Solve for x
    x = 5,254,002,740.25/64,488
  6. Step 6: Final answer
    x = 81,472.56

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.