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Finding the Third Proportional to 5,023 and 7,815

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Solution

The third proportional to 5,023 and 7,815 is: 12,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023 : 7,815 = 7,815 : x
  2. Step 2: Convert to fraction form
    5,023/7,815 = 7,815/x
  3. Step 3: Cross multiply
    5,023x = 7,815 × 7,815
  4. Step 4: Simplify right side
    5,023x = 61,074,225
  5. Step 5: Solve for x
    x = 61,074,225/5,023
  6. Step 6: Final answer
    x = 12,158.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.