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Finding the Third Proportional to 41,386.88 and 65,578.13

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Solution

The third proportional to 41,386.88 and 65,578.13 is: 103,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,386.88 : 65,578.13 = 65,578.13 : x
  2. Step 2: Convert to fraction form
    41,386.88/65,578.13 = 65,578.13/x
  3. Step 3: Cross multiply
    41,386.88x = 65,578.13 × 65,578.13
  4. Step 4: Simplify right side
    41,386.88x = 4,300,490,478.52
  5. Step 5: Solve for x
    x = 4,300,490,478.52/41,386.88
  6. Step 6: Final answer
    x = 103,909.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.