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Finding the Third Proportional to 15,872 and 35,024

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Solution

The third proportional to 15,872 and 35,024 is: 77,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 35,024 = 35,024 : x
  2. Step 2: Convert to fraction form
    15,872/35,024 = 35,024/x
  3. Step 3: Cross multiply
    15,872x = 35,024 × 35,024
  4. Step 4: Simplify right side
    15,872x = 1,226,680,576
  5. Step 5: Solve for x
    x = 1,226,680,576/15,872
  6. Step 6: Final answer
    x = 77,285.82

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Why These Related Problems?

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