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Finding the Third Proportional to 40,072 and 61,460

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Solution

The third proportional to 40,072 and 61,460 is: 94,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,072 : 61,460 = 61,460 : x
  2. Step 2: Convert to fraction form
    40,072/61,460 = 61,460/x
  3. Step 3: Cross multiply
    40,072x = 61,460 × 61,460
  4. Step 4: Simplify right side
    40,072x = 3,777,331,600
  5. Step 5: Solve for x
    x = 3,777,331,600/40,072
  6. Step 6: Final answer
    x = 94,263.62

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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.