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Finding the Third Proportional to 28,464 and 45,472

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Solution

The third proportional to 28,464 and 45,472 is: 72,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,464 : 45,472 = 45,472 : x
  2. Step 2: Convert to fraction form
    28,464/45,472 = 45,472/x
  3. Step 3: Cross multiply
    28,464x = 45,472 × 45,472
  4. Step 4: Simplify right side
    28,464x = 2,067,702,784
  5. Step 5: Solve for x
    x = 2,067,702,784/28,464
  6. Step 6: Final answer
    x = 72,642.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.