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Finding the Third Proportional to 29,922 and 43,581

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Solution

The third proportional to 29,922 and 43,581 is: 63,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,922 : 43,581 = 43,581 : x
  2. Step 2: Convert to fraction form
    29,922/43,581 = 43,581/x
  3. Step 3: Cross multiply
    29,922x = 43,581 × 43,581
  4. Step 4: Simplify right side
    29,922x = 1,899,303,561
  5. Step 5: Solve for x
    x = 1,899,303,561/29,922
  6. Step 6: Final answer
    x = 63,475.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.