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Finding the Third Proportional to 9,642 and 12,587

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Solution

The third proportional to 9,642 and 12,587 is: 16,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642 : 12,587 = 12,587 : x
  2. Step 2: Convert to fraction form
    9,642/12,587 = 12,587/x
  3. Step 3: Cross multiply
    9,642x = 12,587 × 12,587
  4. Step 4: Simplify right side
    9,642x = 158,432,569
  5. Step 5: Solve for x
    x = 158,432,569/9,642
  6. Step 6: Final answer
    x = 16,431.50

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.