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Finding the Third Proportional to 42,352.13 and 56,461.83

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Solution

The third proportional to 42,352.13 and 56,461.83 is: 75,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,352.13 : 56,461.83 = 56,461.83 : x
  2. Step 2: Convert to fraction form
    42,352.13/56,461.83 = 56,461.83/x
  3. Step 3: Cross multiply
    42,352.13x = 56,461.83 × 56,461.83
  4. Step 4: Simplify right side
    42,352.13x = 3,187,938,035.22
  5. Step 5: Solve for x
    x = 3,187,938,035.22/42,352.13
  6. Step 6: Final answer
    x = 75,272.21

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.