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Finding the Third Proportional to 5,023 and 7,353

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Solution

The third proportional to 5,023 and 7,353 is: 10,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023 : 7,353 = 7,353 : x
  2. Step 2: Convert to fraction form
    5,023/7,353 = 7,353/x
  3. Step 3: Cross multiply
    5,023x = 7,353 × 7,353
  4. Step 4: Simplify right side
    5,023x = 54,066,609
  5. Step 5: Solve for x
    x = 54,066,609/5,023
  6. Step 6: Final answer
    x = 10,763.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.