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Finding the Third Proportional to 31,491 and 44,026.50

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Solution

The third proportional to 31,491 and 44,026.50 is: 61,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491 : 44,026.50 = 44,026.50 : x
  2. Step 2: Convert to fraction form
    31,491/44,026.50 = 44,026.50/x
  3. Step 3: Cross multiply
    31,491x = 44,026.50 × 44,026.50
  4. Step 4: Simplify right side
    31,491x = 1,938,332,702.25
  5. Step 5: Solve for x
    x = 1,938,332,702.25/31,491
  6. Step 6: Final answer
    x = 61,551.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.