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Finding the Third Proportional to 34,695.84 and 51,948.84

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Solution

The third proportional to 34,695.84 and 51,948.84 is: 77,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695.84 : 51,948.84 = 51,948.84 : x
  2. Step 2: Convert to fraction form
    34,695.84/51,948.84 = 51,948.84/x
  3. Step 3: Cross multiply
    34,695.84x = 51,948.84 × 51,948.84
  4. Step 4: Simplify right side
    34,695.84x = 2,698,682,366.96
  5. Step 5: Solve for x
    x = 2,698,682,366.96/34,695.84
  6. Step 6: Final answer
    x = 77,781.14

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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.