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Finding the Third Proportional to 35,040 and 47,211

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Solution

The third proportional to 35,040 and 47,211 is: 63,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,040 : 47,211 = 47,211 : x
  2. Step 2: Convert to fraction form
    35,040/47,211 = 47,211/x
  3. Step 3: Cross multiply
    35,040x = 47,211 × 47,211
  4. Step 4: Simplify right side
    35,040x = 2,228,878,521
  5. Step 5: Solve for x
    x = 2,228,878,521/35,040
  6. Step 6: Final answer
    x = 63,609.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.