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Finding the Third Proportional to 5,869.97 and 8,804.95

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Solution

The third proportional to 5,869.97 and 8,804.95 is: 13,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.97 : 8,804.95 = 8,804.95 : x
  2. Step 2: Convert to fraction form
    5,869.97/8,804.95 = 8,804.95/x
  3. Step 3: Cross multiply
    5,869.97x = 8,804.95 × 8,804.95
  4. Step 4: Simplify right side
    5,869.97x = 77,527,199.53
  5. Step 5: Solve for x
    x = 77,527,199.53/5,869.97
  6. Step 6: Final answer
    x = 13,207.43

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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.