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Finding the Third Proportional to 5,597 and 8,558

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Solution

The third proportional to 5,597 and 8,558 is: 13,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597 : 8,558 = 8,558 : x
  2. Step 2: Convert to fraction form
    5,597/8,558 = 8,558/x
  3. Step 3: Cross multiply
    5,597x = 8,558 × 8,558
  4. Step 4: Simplify right side
    5,597x = 73,239,364
  5. Step 5: Solve for x
    x = 73,239,364/5,597
  6. Step 6: Final answer
    x = 13,085.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.