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Finding the Third Proportional to 1,765.55 and 4,337.93

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Solution

The third proportional to 1,765.55 and 4,337.93 is: 10,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.55 : 4,337.93 = 4,337.93 : x
  2. Step 2: Convert to fraction form
    1,765.55/4,337.93 = 4,337.93/x
  3. Step 3: Cross multiply
    1,765.55x = 4,337.93 × 4,337.93
  4. Step 4: Simplify right side
    1,765.55x = 18,817,633.97
  5. Step 5: Solve for x
    x = 18,817,633.97/1,765.55
  6. Step 6: Final answer
    x = 10,658.25

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.