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Finding the Third Proportional to 45,046.13 and 52,032.38

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Solution

The third proportional to 45,046.13 and 52,032.38 is: 60,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,046.13 : 52,032.38 = 52,032.38 : x
  2. Step 2: Convert to fraction form
    45,046.13/52,032.38 = 52,032.38/x
  3. Step 3: Cross multiply
    45,046.13x = 52,032.38 × 52,032.38
  4. Step 4: Simplify right side
    45,046.13x = 2,707,368,048.14
  5. Step 5: Solve for x
    x = 2,707,368,048.14/45,046.13
  6. Step 6: Final answer
    x = 60,102.13

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.