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Finding the Third Proportional to 21,590 and 32,541

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Solution

The third proportional to 21,590 and 32,541 is: 49,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,590 : 32,541 = 32,541 : x
  2. Step 2: Convert to fraction form
    21,590/32,541 = 32,541/x
  3. Step 3: Cross multiply
    21,590x = 32,541 × 32,541
  4. Step 4: Simplify right side
    21,590x = 1,058,916,681
  5. Step 5: Solve for x
    x = 1,058,916,681/21,590
  6. Step 6: Final answer
    x = 49,046.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.