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Finding the Third Proportional to 6,040 and 14,032

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Solution

The third proportional to 6,040 and 14,032 is: 32,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040 : 14,032 = 14,032 : x
  2. Step 2: Convert to fraction form
    6,040/14,032 = 14,032/x
  3. Step 3: Cross multiply
    6,040x = 14,032 × 14,032
  4. Step 4: Simplify right side
    6,040x = 196,897,024
  5. Step 5: Solve for x
    x = 196,897,024/6,040
  6. Step 6: Final answer
    x = 32,598.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.