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Finding the Third Proportional to 9,730.13 and 15,239.81

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Solution

The third proportional to 9,730.13 and 15,239.81 is: 23,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.13 : 15,239.81 = 15,239.81 : x
  2. Step 2: Convert to fraction form
    9,730.13/15,239.81 = 15,239.81/x
  3. Step 3: Cross multiply
    9,730.13x = 15,239.81 × 15,239.81
  4. Step 4: Simplify right side
    9,730.13x = 232,251,885.04
  5. Step 5: Solve for x
    x = 232,251,885.04/9,730.13
  6. Step 6: Final answer
    x = 23,869.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.