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Finding the Third Proportional to 14,750 and 32,094

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Solution

The third proportional to 14,750 and 32,094 is: 69,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750 : 32,094 = 32,094 : x
  2. Step 2: Convert to fraction form
    14,750/32,094 = 32,094/x
  3. Step 3: Cross multiply
    14,750x = 32,094 × 32,094
  4. Step 4: Simplify right side
    14,750x = 1,030,024,836
  5. Step 5: Solve for x
    x = 1,030,024,836/14,750
  6. Step 6: Final answer
    x = 69,832.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.