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Finding the Third Proportional to 14,666 and 32,464

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Solution

The third proportional to 14,666 and 32,464 is: 71,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666 : 32,464 = 32,464 : x
  2. Step 2: Convert to fraction form
    14,666/32,464 = 32,464/x
  3. Step 3: Cross multiply
    14,666x = 32,464 × 32,464
  4. Step 4: Simplify right side
    14,666x = 1,053,911,296
  5. Step 5: Solve for x
    x = 1,053,911,296/14,666
  6. Step 6: Final answer
    x = 71,860.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.