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Finding the Third Proportional to 40,970 and 62,931

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Solution

The third proportional to 40,970 and 62,931 is: 96,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970 : 62,931 = 62,931 : x
  2. Step 2: Convert to fraction form
    40,970/62,931 = 62,931/x
  3. Step 3: Cross multiply
    40,970x = 62,931 × 62,931
  4. Step 4: Simplify right side
    40,970x = 3,960,310,761
  5. Step 5: Solve for x
    x = 3,960,310,761/40,970
  6. Step 6: Final answer
    x = 96,663.67

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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.