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Finding the Third Proportional to 31,459 and 48,280

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Solution

The third proportional to 31,459 and 48,280 is: 74,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459 : 48,280 = 48,280 : x
  2. Step 2: Convert to fraction form
    31,459/48,280 = 48,280/x
  3. Step 3: Cross multiply
    31,459x = 48,280 × 48,280
  4. Step 4: Simplify right side
    31,459x = 2,330,958,400
  5. Step 5: Solve for x
    x = 2,330,958,400/31,459
  6. Step 6: Final answer
    x = 74,095.12

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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.