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Finding the Third Proportional to 41,423 and 64,259

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Solution

The third proportional to 41,423 and 64,259 is: 99,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,423 : 64,259 = 64,259 : x
  2. Step 2: Convert to fraction form
    41,423/64,259 = 64,259/x
  3. Step 3: Cross multiply
    41,423x = 64,259 × 64,259
  4. Step 4: Simplify right side
    41,423x = 4,129,219,081
  5. Step 5: Solve for x
    x = 4,129,219,081/41,423
  6. Step 6: Final answer
    x = 99,684.21

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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.