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Finding the Third Proportional to 9,988 and 15,506

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Solution

The third proportional to 9,988 and 15,506 is: 24,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988 : 15,506 = 15,506 : x
  2. Step 2: Convert to fraction form
    9,988/15,506 = 15,506/x
  3. Step 3: Cross multiply
    9,988x = 15,506 × 15,506
  4. Step 4: Simplify right side
    9,988x = 240,436,036
  5. Step 5: Solve for x
    x = 240,436,036/9,988
  6. Step 6: Final answer
    x = 24,072.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.