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Finding the Third Proportional to 31,480 and 48,314

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Solution

The third proportional to 31,480 and 48,314 is: 74,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480 : 48,314 = 48,314 : x
  2. Step 2: Convert to fraction form
    31,480/48,314 = 48,314/x
  3. Step 3: Cross multiply
    31,480x = 48,314 × 48,314
  4. Step 4: Simplify right side
    31,480x = 2,334,242,596
  5. Step 5: Solve for x
    x = 2,334,242,596/31,480
  6. Step 6: Final answer
    x = 74,150.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.