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Finding the Third Proportional to 5,527.41 and 8,752.27

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Solution

The third proportional to 5,527.41 and 8,752.27 is: 13,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.41 : 8,752.27 = 8,752.27 : x
  2. Step 2: Convert to fraction form
    5,527.41/8,752.27 = 8,752.27/x
  3. Step 3: Cross multiply
    5,527.41x = 8,752.27 × 8,752.27
  4. Step 4: Simplify right side
    5,527.41x = 76,602,153.57
  5. Step 5: Solve for x
    x = 76,602,153.57/5,527.41
  6. Step 6: Final answer
    x = 13,858.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.