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Finding the Third Proportional to 12,562.50 and 19,953

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Solution

The third proportional to 12,562.50 and 19,953 is: 31,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.50 : 19,953 = 19,953 : x
  2. Step 2: Convert to fraction form
    12,562.50/19,953 = 19,953/x
  3. Step 3: Cross multiply
    12,562.50x = 19,953 × 19,953
  4. Step 4: Simplify right side
    12,562.50x = 398,122,209
  5. Step 5: Solve for x
    x = 398,122,209/12,562.50
  6. Step 6: Final answer
    x = 31,691.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.