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Finding the Third Proportional to 40,023.56 and 62,782.59

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Solution

The third proportional to 40,023.56 and 62,782.59 is: 98,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,023.56 : 62,782.59 = 62,782.59 : x
  2. Step 2: Convert to fraction form
    40,023.56/62,782.59 = 62,782.59/x
  3. Step 3: Cross multiply
    40,023.56x = 62,782.59 × 62,782.59
  4. Step 4: Simplify right side
    40,023.56x = 3,941,654,077.98
  5. Step 5: Solve for x
    x = 3,941,654,077.98/40,023.56
  6. Step 6: Final answer
    x = 98,483.34

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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.