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Finding the Third Proportional to 31,114 and 47,248

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Solution

The third proportional to 31,114 and 47,248 is: 71,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114 : 47,248 = 47,248 : x
  2. Step 2: Convert to fraction form
    31,114/47,248 = 47,248/x
  3. Step 3: Cross multiply
    31,114x = 47,248 × 47,248
  4. Step 4: Simplify right side
    31,114x = 2,232,373,504
  5. Step 5: Solve for x
    x = 2,232,373,504/31,114
  6. Step 6: Final answer
    x = 71,748.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.