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Finding the Third Proportional to 40,076 and 51,246

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Solution

The third proportional to 40,076 and 51,246 is: 65,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,076 : 51,246 = 51,246 : x
  2. Step 2: Convert to fraction form
    40,076/51,246 = 51,246/x
  3. Step 3: Cross multiply
    40,076x = 51,246 × 51,246
  4. Step 4: Simplify right side
    40,076x = 2,626,152,516
  5. Step 5: Solve for x
    x = 2,626,152,516/40,076
  6. Step 6: Final answer
    x = 65,529.31

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.