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Finding the Third Proportional to 22,659 and 31,012.50

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Solution

The third proportional to 22,659 and 31,012.50 is: 42,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659 : 31,012.50 = 31,012.50 : x
  2. Step 2: Convert to fraction form
    22,659/31,012.50 = 31,012.50/x
  3. Step 3: Cross multiply
    22,659x = 31,012.50 × 31,012.50
  4. Step 4: Simplify right side
    22,659x = 961,775,156.25
  5. Step 5: Solve for x
    x = 961,775,156.25/22,659
  6. Step 6: Final answer
    x = 42,445.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.