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Finding the Third Proportional to 31,292 and 48,518.50

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Solution

The third proportional to 31,292 and 48,518.50 is: 75,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292 : 48,518.50 = 48,518.50 : x
  2. Step 2: Convert to fraction form
    31,292/48,518.50 = 48,518.50/x
  3. Step 3: Cross multiply
    31,292x = 48,518.50 × 48,518.50
  4. Step 4: Simplify right side
    31,292x = 2,354,044,842.25
  5. Step 5: Solve for x
    x = 2,354,044,842.25/31,292
  6. Step 6: Final answer
    x = 75,228.33

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