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Finding the Third Proportional to 35,248 and 51,548

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Solution

The third proportional to 35,248 and 51,548 is: 75,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,248 : 51,548 = 51,548 : x
  2. Step 2: Convert to fraction form
    35,248/51,548 = 51,548/x
  3. Step 3: Cross multiply
    35,248x = 51,548 × 51,548
  4. Step 4: Simplify right side
    35,248x = 2,657,196,304
  5. Step 5: Solve for x
    x = 2,657,196,304/35,248
  6. Step 6: Final answer
    x = 75,385.73

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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.