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Finding the Third Proportional to 14,652 and 31,952

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Solution

The third proportional to 14,652 and 31,952 is: 69,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652 : 31,952 = 31,952 : x
  2. Step 2: Convert to fraction form
    14,652/31,952 = 31,952/x
  3. Step 3: Cross multiply
    14,652x = 31,952 × 31,952
  4. Step 4: Simplify right side
    14,652x = 1,020,930,304
  5. Step 5: Solve for x
    x = 1,020,930,304/14,652
  6. Step 6: Final answer
    x = 69,678.56

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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.