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Finding the Third Proportional to 9,835.80 and 15,642.18

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Solution

The third proportional to 9,835.80 and 15,642.18 is: 24,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.80 : 15,642.18 = 15,642.18 : x
  2. Step 2: Convert to fraction form
    9,835.80/15,642.18 = 15,642.18/x
  3. Step 3: Cross multiply
    9,835.80x = 15,642.18 × 15,642.18
  4. Step 4: Simplify right side
    9,835.80x = 244,677,663.17
  5. Step 5: Solve for x
    x = 244,677,663.17/9,835.80
  6. Step 6: Final answer
    x = 24,876.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.