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Finding the Third Proportional to 7,558.31 and 10,737.56

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Solution

The third proportional to 7,558.31 and 10,737.56 is: 15,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.31 : 10,737.56 = 10,737.56 : x
  2. Step 2: Convert to fraction form
    7,558.31/10,737.56 = 10,737.56/x
  3. Step 3: Cross multiply
    7,558.31x = 10,737.56 × 10,737.56
  4. Step 4: Simplify right side
    7,558.31x = 115,295,248.44
  5. Step 5: Solve for x
    x = 115,295,248.44/7,558.31
  6. Step 6: Final answer
    x = 15,254.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.