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Finding the Third Proportional to 29,818.13 and 42,135.19

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Solution

The third proportional to 29,818.13 and 42,135.19 is: 59,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818.13 : 42,135.19 = 42,135.19 : x
  2. Step 2: Convert to fraction form
    29,818.13/42,135.19 = 42,135.19/x
  3. Step 3: Cross multiply
    29,818.13x = 42,135.19 × 42,135.19
  4. Step 4: Simplify right side
    29,818.13x = 1,775,374,025.66
  5. Step 5: Solve for x
    x = 1,775,374,025.66/29,818.13
  6. Step 6: Final answer
    x = 59,540.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.