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Finding the Third Proportional to 15,624 and 34,052

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Solution

The third proportional to 15,624 and 34,052 is: 74,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624 : 34,052 = 34,052 : x
  2. Step 2: Convert to fraction form
    15,624/34,052 = 34,052/x
  3. Step 3: Cross multiply
    15,624x = 34,052 × 34,052
  4. Step 4: Simplify right side
    15,624x = 1,159,538,704
  5. Step 5: Solve for x
    x = 1,159,538,704/15,624
  6. Step 6: Final answer
    x = 74,215.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.