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Finding the Third Proportional to 14,969 and 32,707

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Solution

The third proportional to 14,969 and 32,707 is: 71,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969 : 32,707 = 32,707 : x
  2. Step 2: Convert to fraction form
    14,969/32,707 = 32,707/x
  3. Step 3: Cross multiply
    14,969x = 32,707 × 32,707
  4. Step 4: Simplify right side
    14,969x = 1,069,747,849
  5. Step 5: Solve for x
    x = 1,069,747,849/14,969
  6. Step 6: Final answer
    x = 71,464.22

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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.