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Finding the Third Proportional to 31,522 and 48,120

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Solution

The third proportional to 31,522 and 48,120 is: 73,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522 : 48,120 = 48,120 : x
  2. Step 2: Convert to fraction form
    31,522/48,120 = 48,120/x
  3. Step 3: Cross multiply
    31,522x = 48,120 × 48,120
  4. Step 4: Simplify right side
    31,522x = 2,315,534,400
  5. Step 5: Solve for x
    x = 2,315,534,400/31,522
  6. Step 6: Final answer
    x = 73,457.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.