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Finding the Third Proportional to 31,347 and 48,411

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Solution

The third proportional to 31,347 and 48,411 is: 74,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347 : 48,411 = 48,411 : x
  2. Step 2: Convert to fraction form
    31,347/48,411 = 48,411/x
  3. Step 3: Cross multiply
    31,347x = 48,411 × 48,411
  4. Step 4: Simplify right side
    31,347x = 2,343,624,921
  5. Step 5: Solve for x
    x = 2,343,624,921/31,347
  6. Step 6: Final answer
    x = 74,763.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.