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Finding the Third Proportional to 5,697 and 8,623.13

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Solution

The third proportional to 5,697 and 8,623.13 is: 13,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 8,623.13 = 8,623.13 : x
  2. Step 2: Convert to fraction form
    5,697/8,623.13 = 8,623.13/x
  3. Step 3: Cross multiply
    5,697x = 8,623.13 × 8,623.13
  4. Step 4: Simplify right side
    5,697x = 74,358,284.77
  5. Step 5: Solve for x
    x = 74,358,284.77/5,697
  6. Step 6: Final answer
    x = 13,052.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.