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Finding the Third Proportional to 5,356.13 and 8,523.56

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Solution

The third proportional to 5,356.13 and 8,523.56 is: 13,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.13 : 8,523.56 = 8,523.56 : x
  2. Step 2: Convert to fraction form
    5,356.13/8,523.56 = 8,523.56/x
  3. Step 3: Cross multiply
    5,356.13x = 8,523.56 × 8,523.56
  4. Step 4: Simplify right side
    5,356.13x = 72,651,117.69
  5. Step 5: Solve for x
    x = 72,651,117.69/5,356.13
  6. Step 6: Final answer
    x = 13,564.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.