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Finding the Third Proportional to 21,570 and 32,223

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Solution

The third proportional to 21,570 and 32,223 is: 48,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570 : 32,223 = 32,223 : x
  2. Step 2: Convert to fraction form
    21,570/32,223 = 32,223/x
  3. Step 3: Cross multiply
    21,570x = 32,223 × 32,223
  4. Step 4: Simplify right side
    21,570x = 1,038,321,729
  5. Step 5: Solve for x
    x = 1,038,321,729/21,570
  6. Step 6: Final answer
    x = 48,137.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.