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Finding the Third Proportional to 13,584.38 and 31,509

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Solution

The third proportional to 13,584.38 and 31,509 is: 73,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.38 : 31,509 = 31,509 : x
  2. Step 2: Convert to fraction form
    13,584.38/31,509 = 31,509/x
  3. Step 3: Cross multiply
    13,584.38x = 31,509 × 31,509
  4. Step 4: Simplify right side
    13,584.38x = 992,817,081
  5. Step 5: Solve for x
    x = 992,817,081/13,584.38
  6. Step 6: Final answer
    x = 73,085.22

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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.