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Finding the Third Proportional to 45,265.13 and 66,510.38

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Solution

The third proportional to 45,265.13 and 66,510.38 is: 97,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,265.13 : 66,510.38 = 66,510.38 : x
  2. Step 2: Convert to fraction form
    45,265.13/66,510.38 = 66,510.38/x
  3. Step 3: Cross multiply
    45,265.13x = 66,510.38 × 66,510.38
  4. Step 4: Simplify right side
    45,265.13x = 4,423,629,982.64
  5. Step 5: Solve for x
    x = 4,423,629,982.64/45,265.13
  6. Step 6: Final answer
    x = 97,727.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.