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Finding the Third Proportional to 35,002.13 and 45,456.19

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Solution

The third proportional to 35,002.13 and 45,456.19 is: 59,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,002.13 : 45,456.19 = 45,456.19 : x
  2. Step 2: Convert to fraction form
    35,002.13/45,456.19 = 45,456.19/x
  3. Step 3: Cross multiply
    35,002.13x = 45,456.19 × 45,456.19
  4. Step 4: Simplify right side
    35,002.13x = 2,066,264,982.04
  5. Step 5: Solve for x
    x = 2,066,264,982.04/35,002.13
  6. Step 6: Final answer
    x = 59,032.56

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.