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Finding the Third Proportional to 35,038 and 52,919

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Solution

The third proportional to 35,038 and 52,919 is: 79,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,038 : 52,919 = 52,919 : x
  2. Step 2: Convert to fraction form
    35,038/52,919 = 52,919/x
  3. Step 3: Cross multiply
    35,038x = 52,919 × 52,919
  4. Step 4: Simplify right side
    35,038x = 2,800,420,561
  5. Step 5: Solve for x
    x = 2,800,420,561/35,038
  6. Step 6: Final answer
    x = 79,925.24

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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.