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Finding the Third Proportional to 15,882.19 and 35,029.69

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Solution

The third proportional to 15,882.19 and 35,029.69 is: 77,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.19 : 35,029.69 = 35,029.69 : x
  2. Step 2: Convert to fraction form
    15,882.19/35,029.69 = 35,029.69/x
  3. Step 3: Cross multiply
    15,882.19x = 35,029.69 × 35,029.69
  4. Step 4: Simplify right side
    15,882.19x = 1,227,079,006.35
  5. Step 5: Solve for x
    x = 1,227,079,006.35/15,882.19
  6. Step 6: Final answer
    x = 77,261.33

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.