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Finding the Third Proportional to 14,904 and 31,584.38

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Solution

The third proportional to 14,904 and 31,584.38 is: 66,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 31,584.38 = 31,584.38 : x
  2. Step 2: Convert to fraction form
    14,904/31,584.38 = 31,584.38/x
  3. Step 3: Cross multiply
    14,904x = 31,584.38 × 31,584.38
  4. Step 4: Simplify right side
    14,904x = 997,572,744.14
  5. Step 5: Solve for x
    x = 997,572,744.14/14,904
  6. Step 6: Final answer
    x = 66,933.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.