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Finding the Third Proportional to 40,072 and 62,293

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Solution

The third proportional to 40,072 and 62,293 is: 96,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,072 : 62,293 = 62,293 : x
  2. Step 2: Convert to fraction form
    40,072/62,293 = 62,293/x
  3. Step 3: Cross multiply
    40,072x = 62,293 × 62,293
  4. Step 4: Simplify right side
    40,072x = 3,880,417,849
  5. Step 5: Solve for x
    x = 3,880,417,849/40,072
  6. Step 6: Final answer
    x = 96,836.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.