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Finding the Third Proportional to 5,862.38 and 8,795.46

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Solution

The third proportional to 5,862.38 and 8,795.46 is: 13,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.38 : 8,795.46 = 8,795.46 : x
  2. Step 2: Convert to fraction form
    5,862.38/8,795.46 = 8,795.46/x
  3. Step 3: Cross multiply
    5,862.38x = 8,795.46 × 8,795.46
  4. Step 4: Simplify right side
    5,862.38x = 77,360,133.10
  5. Step 5: Solve for x
    x = 77,360,133.10/5,862.38
  6. Step 6: Final answer
    x = 13,196.04

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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.