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Finding the Third Proportional to 45,883.13 and 66,827.38

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Solution

The third proportional to 45,883.13 and 66,827.38 is: 97,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,883.13 : 66,827.38 = 66,827.38 : x
  2. Step 2: Convert to fraction form
    45,883.13/66,827.38 = 66,827.38/x
  3. Step 3: Cross multiply
    45,883.13x = 66,827.38 × 66,827.38
  4. Step 4: Simplify right side
    45,883.13x = 4,465,898,049.39
  5. Step 5: Solve for x
    x = 4,465,898,049.39/45,883.13
  6. Step 6: Final answer
    x = 97,332.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.