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Finding the Third Proportional to 7,257.98 and 10,606.92

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Solution

The third proportional to 7,257.98 and 10,606.92 is: 15,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.98 : 10,606.92 = 10,606.92 : x
  2. Step 2: Convert to fraction form
    7,257.98/10,606.92 = 10,606.92/x
  3. Step 3: Cross multiply
    7,257.98x = 10,606.92 × 10,606.92
  4. Step 4: Simplify right side
    7,257.98x = 112,506,791.66
  5. Step 5: Solve for x
    x = 112,506,791.66/7,257.98
  6. Step 6: Final answer
    x = 15,501.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.