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Finding the Third Proportional to 9,654 and 11,098.50

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Solution

The third proportional to 9,654 and 11,098.50 is: 12,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654 : 11,098.50 = 11,098.50 : x
  2. Step 2: Convert to fraction form
    9,654/11,098.50 = 11,098.50/x
  3. Step 3: Cross multiply
    9,654x = 11,098.50 × 11,098.50
  4. Step 4: Simplify right side
    9,654x = 123,176,702.25
  5. Step 5: Solve for x
    x = 123,176,702.25/9,654
  6. Step 6: Final answer
    x = 12,759.14

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.