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Finding the Third Proportional to 9,853.88 and 15,069.38

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Solution

The third proportional to 9,853.88 and 15,069.38 is: 23,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.88 : 15,069.38 = 15,069.38 : x
  2. Step 2: Convert to fraction form
    9,853.88/15,069.38 = 15,069.38/x
  3. Step 3: Cross multiply
    9,853.88x = 15,069.38 × 15,069.38
  4. Step 4: Simplify right side
    9,853.88x = 227,086,062.89
  5. Step 5: Solve for x
    x = 227,086,062.89/9,853.88
  6. Step 6: Final answer
    x = 23,045.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.