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Finding the Third Proportional to 40,106 and 62,346

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Solution

The third proportional to 40,106 and 62,346 is: 96,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106 : 62,346 = 62,346 : x
  2. Step 2: Convert to fraction form
    40,106/62,346 = 62,346/x
  3. Step 3: Cross multiply
    40,106x = 62,346 × 62,346
  4. Step 4: Simplify right side
    40,106x = 3,887,023,716
  5. Step 5: Solve for x
    x = 3,887,023,716/40,106
  6. Step 6: Final answer
    x = 96,918.76

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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.