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Finding the Third Proportional to 31,426 and 48,598

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Solution

The third proportional to 31,426 and 48,598 is: 75,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,426 : 48,598 = 48,598 : x
  2. Step 2: Convert to fraction form
    31,426/48,598 = 48,598/x
  3. Step 3: Cross multiply
    31,426x = 48,598 × 48,598
  4. Step 4: Simplify right side
    31,426x = 2,361,765,604
  5. Step 5: Solve for x
    x = 2,361,765,604/31,426
  6. Step 6: Final answer
    x = 75,153.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.