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Finding the Third Proportional to 14,398.31 and 21,486.52

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Solution

The third proportional to 14,398.31 and 21,486.52 is: 32,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.31 : 21,486.52 = 21,486.52 : x
  2. Step 2: Convert to fraction form
    14,398.31/21,486.52 = 21,486.52/x
  3. Step 3: Cross multiply
    14,398.31x = 21,486.52 × 21,486.52
  4. Step 4: Simplify right side
    14,398.31x = 461,670,353.70
  5. Step 5: Solve for x
    x = 461,670,353.70/14,398.31
  6. Step 6: Final answer
    x = 32,064.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.