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Finding the Third Proportional to 14,586 and 32,088

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Solution

The third proportional to 14,586 and 32,088 is: 70,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 32,088 = 32,088 : x
  2. Step 2: Convert to fraction form
    14,586/32,088 = 32,088/x
  3. Step 3: Cross multiply
    14,586x = 32,088 × 32,088
  4. Step 4: Simplify right side
    14,586x = 1,029,639,744
  5. Step 5: Solve for x
    x = 1,029,639,744/14,586
  6. Step 6: Final answer
    x = 70,590.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.