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Finding the Third Proportional to 7,737.19 and 17,298.56

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Solution

The third proportional to 7,737.19 and 17,298.56 is: 38,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.19 : 17,298.56 = 17,298.56 : x
  2. Step 2: Convert to fraction form
    7,737.19/17,298.56 = 17,298.56/x
  3. Step 3: Cross multiply
    7,737.19x = 17,298.56 × 17,298.56
  4. Step 4: Simplify right side
    7,737.19x = 299,240,264.57
  5. Step 5: Solve for x
    x = 299,240,264.57/7,737.19
  6. Step 6: Final answer
    x = 38,675.59

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.