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Finding the Third Proportional to 29,952 and 46,569

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Solution

The third proportional to 29,952 and 46,569 is: 72,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952 : 46,569 = 46,569 : x
  2. Step 2: Convert to fraction form
    29,952/46,569 = 46,569/x
  3. Step 3: Cross multiply
    29,952x = 46,569 × 46,569
  4. Step 4: Simplify right side
    29,952x = 2,168,671,761
  5. Step 5: Solve for x
    x = 2,168,671,761/29,952
  6. Step 6: Final answer
    x = 72,404.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.