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Finding the Third Proportional to 31,656 and 49,015

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Solution

The third proportional to 31,656 and 49,015 is: 75,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656 : 49,015 = 49,015 : x
  2. Step 2: Convert to fraction form
    31,656/49,015 = 49,015/x
  3. Step 3: Cross multiply
    31,656x = 49,015 × 49,015
  4. Step 4: Simplify right side
    31,656x = 2,402,470,225
  5. Step 5: Solve for x
    x = 2,402,470,225/31,656
  6. Step 6: Final answer
    x = 75,893.04

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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.