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Finding the Third Proportional to 31,648 and 48,565

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Solution

The third proportional to 31,648 and 48,565 is: 74,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648 : 48,565 = 48,565 : x
  2. Step 2: Convert to fraction form
    31,648/48,565 = 48,565/x
  3. Step 3: Cross multiply
    31,648x = 48,565 × 48,565
  4. Step 4: Simplify right side
    31,648x = 2,358,559,225
  5. Step 5: Solve for x
    x = 2,358,559,225/31,648
  6. Step 6: Final answer
    x = 74,524.75

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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.