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Finding the Third Proportional to 10,378.13 and 15,233.06

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Solution

The third proportional to 10,378.13 and 15,233.06 is: 22,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.13 : 15,233.06 = 15,233.06 : x
  2. Step 2: Convert to fraction form
    10,378.13/15,233.06 = 15,233.06/x
  3. Step 3: Cross multiply
    10,378.13x = 15,233.06 × 15,233.06
  4. Step 4: Simplify right side
    10,378.13x = 232,046,193.13
  5. Step 5: Solve for x
    x = 232,046,193.13/10,378.13
  6. Step 6: Final answer
    x = 22,359.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.