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Finding the Third Proportional to 40,005 and 64,441

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Solution

The third proportional to 40,005 and 64,441 is: 103,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,005 : 64,441 = 64,441 : x
  2. Step 2: Convert to fraction form
    40,005/64,441 = 64,441/x
  3. Step 3: Cross multiply
    40,005x = 64,441 × 64,441
  4. Step 4: Simplify right side
    40,005x = 4,152,642,481
  5. Step 5: Solve for x
    x = 4,152,642,481/40,005
  6. Step 6: Final answer
    x = 103,803.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.