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Finding the Third Proportional to 51,045.19 and 65,632.78

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Solution

The third proportional to 51,045.19 and 65,632.78 is: 84,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,045.19 : 65,632.78 = 65,632.78 : x
  2. Step 2: Convert to fraction form
    51,045.19/65,632.78 = 65,632.78/x
  3. Step 3: Cross multiply
    51,045.19x = 65,632.78 × 65,632.78
  4. Step 4: Simplify right side
    51,045.19x = 4,307,661,974.61
  5. Step 5: Solve for x
    x = 4,307,661,974.61/51,045.19
  6. Step 6: Final answer
    x = 84,389.19

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.