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Finding the Third Proportional to 41,420 and 64,254

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Solution

The third proportional to 41,420 and 64,254 is: 99,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,420 : 64,254 = 64,254 : x
  2. Step 2: Convert to fraction form
    41,420/64,254 = 64,254/x
  3. Step 3: Cross multiply
    41,420x = 64,254 × 64,254
  4. Step 4: Simplify right side
    41,420x = 4,128,576,516
  5. Step 5: Solve for x
    x = 4,128,576,516/41,420
  6. Step 6: Final answer
    x = 99,675.92

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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.