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Finding the Third Proportional to 34,681.69 and 51,927.56

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Solution

The third proportional to 34,681.69 and 51,927.56 is: 77,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681.69 : 51,927.56 = 51,927.56 : x
  2. Step 2: Convert to fraction form
    34,681.69/51,927.56 = 51,927.56/x
  3. Step 3: Cross multiply
    34,681.69x = 51,927.56 × 51,927.56
  4. Step 4: Simplify right side
    34,681.69x = 2,696,471,747.19
  5. Step 5: Solve for x
    x = 2,696,471,747.19/34,681.69
  6. Step 6: Final answer
    x = 77,749.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.