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Finding the Third Proportional to 41,031 and 64,282.50

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Solution

The third proportional to 41,031 and 64,282.50 is: 100,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,031 : 64,282.50 = 64,282.50 : x
  2. Step 2: Convert to fraction form
    41,031/64,282.50 = 64,282.50/x
  3. Step 3: Cross multiply
    41,031x = 64,282.50 × 64,282.50
  4. Step 4: Simplify right side
    41,031x = 4,132,239,806.25
  5. Step 5: Solve for x
    x = 4,132,239,806.25/41,031
  6. Step 6: Final answer
    x = 100,710.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.