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Finding the Third Proportional to 21,751.50 and 32,628

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Solution

The third proportional to 21,751.50 and 32,628 is: 48,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.50 : 32,628 = 32,628 : x
  2. Step 2: Convert to fraction form
    21,751.50/32,628 = 32,628/x
  3. Step 3: Cross multiply
    21,751.50x = 32,628 × 32,628
  4. Step 4: Simplify right side
    21,751.50x = 1,064,586,384
  5. Step 5: Solve for x
    x = 1,064,586,384/21,751.50
  6. Step 6: Final answer
    x = 48,943.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.