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Finding the Third Proportional to 13,587 and 14,883

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Solution

The third proportional to 13,587 and 14,883 is: 16,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587 : 14,883 = 14,883 : x
  2. Step 2: Convert to fraction form
    13,587/14,883 = 14,883/x
  3. Step 3: Cross multiply
    13,587x = 14,883 × 14,883
  4. Step 4: Simplify right side
    13,587x = 221,503,689
  5. Step 5: Solve for x
    x = 221,503,689/13,587
  6. Step 6: Final answer
    x = 16,302.62

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.