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Finding the Third Proportional to 21,588 and 32,270

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Solution

The third proportional to 21,588 and 32,270 is: 48,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588 : 32,270 = 32,270 : x
  2. Step 2: Convert to fraction form
    21,588/32,270 = 32,270/x
  3. Step 3: Cross multiply
    21,588x = 32,270 × 32,270
  4. Step 4: Simplify right side
    21,588x = 1,041,352,900
  5. Step 5: Solve for x
    x = 1,041,352,900/21,588
  6. Step 6: Final answer
    x = 48,237.58

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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.