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Finding the Third Proportional to 35,140.13 and 54,054.38

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Solution

The third proportional to 35,140.13 and 54,054.38 is: 83,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.13 : 54,054.38 = 54,054.38 : x
  2. Step 2: Convert to fraction form
    35,140.13/54,054.38 = 54,054.38/x
  3. Step 3: Cross multiply
    35,140.13x = 54,054.38 × 54,054.38
  4. Step 4: Simplify right side
    35,140.13x = 2,921,875,456.64
  5. Step 5: Solve for x
    x = 2,921,875,456.64/35,140.13
  6. Step 6: Final answer
    x = 83,149.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.