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Finding the Third Proportional to 21,959 and 32,455

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Solution

The third proportional to 21,959 and 32,455 is: 47,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959 : 32,455 = 32,455 : x
  2. Step 2: Convert to fraction form
    21,959/32,455 = 32,455/x
  3. Step 3: Cross multiply
    21,959x = 32,455 × 32,455
  4. Step 4: Simplify right side
    21,959x = 1,053,327,025
  5. Step 5: Solve for x
    x = 1,053,327,025/21,959
  6. Step 6: Final answer
    x = 47,967.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.