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Finding the Third Proportional to 22,580 and 32,088

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Solution

The third proportional to 22,580 and 32,088 is: 45,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580 : 32,088 = 32,088 : x
  2. Step 2: Convert to fraction form
    22,580/32,088 = 32,088/x
  3. Step 3: Cross multiply
    22,580x = 32,088 × 32,088
  4. Step 4: Simplify right side
    22,580x = 1,029,639,744
  5. Step 5: Solve for x
    x = 1,029,639,744/22,580
  6. Step 6: Final answer
    x = 45,599.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.