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Finding the Third Proportional to 8,129.50 and 12,532

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Solution

The third proportional to 8,129.50 and 12,532 is: 19,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.50 : 12,532 = 12,532 : x
  2. Step 2: Convert to fraction form
    8,129.50/12,532 = 12,532/x
  3. Step 3: Cross multiply
    8,129.50x = 12,532 × 12,532
  4. Step 4: Simplify right side
    8,129.50x = 157,051,024
  5. Step 5: Solve for x
    x = 157,051,024/8,129.50
  6. Step 6: Final answer
    x = 19,318.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.