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Finding the Third Proportional to 14,023 and 32,769

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Solution

The third proportional to 14,023 and 32,769 is: 76,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023 : 32,769 = 32,769 : x
  2. Step 2: Convert to fraction form
    14,023/32,769 = 32,769/x
  3. Step 3: Cross multiply
    14,023x = 32,769 × 32,769
  4. Step 4: Simplify right side
    14,023x = 1,073,807,361
  5. Step 5: Solve for x
    x = 1,073,807,361/14,023
  6. Step 6: Final answer
    x = 76,574.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.