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Finding the Third Proportional to 13,464 and 29,484

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Solution

The third proportional to 13,464 and 29,484 is: 64,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464 : 29,484 = 29,484 : x
  2. Step 2: Convert to fraction form
    13,464/29,484 = 29,484/x
  3. Step 3: Cross multiply
    13,464x = 29,484 × 29,484
  4. Step 4: Simplify right side
    13,464x = 869,306,256
  5. Step 5: Solve for x
    x = 869,306,256/13,464
  6. Step 6: Final answer
    x = 64,565.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.