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Finding the Third Proportional to 31,107 and 47,812.50

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Solution

The third proportional to 31,107 and 47,812.50 is: 73,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107 : 47,812.50 = 47,812.50 : x
  2. Step 2: Convert to fraction form
    31,107/47,812.50 = 47,812.50/x
  3. Step 3: Cross multiply
    31,107x = 47,812.50 × 47,812.50
  4. Step 4: Simplify right side
    31,107x = 2,286,035,156.25
  5. Step 5: Solve for x
    x = 2,286,035,156.25/31,107
  6. Step 6: Final answer
    x = 73,489.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.