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Finding the Third Proportional to 31,574 and 52,617

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Solution

The third proportional to 31,574 and 52,617 is: 87,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574 : 52,617 = 52,617 : x
  2. Step 2: Convert to fraction form
    31,574/52,617 = 52,617/x
  3. Step 3: Cross multiply
    31,574x = 52,617 × 52,617
  4. Step 4: Simplify right side
    31,574x = 2,768,548,689
  5. Step 5: Solve for x
    x = 2,768,548,689/31,574
  6. Step 6: Final answer
    x = 87,684.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.