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Finding the Third Proportional to 15,342.38 and 33,102

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Solution

The third proportional to 15,342.38 and 33,102 is: 71,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.38 : 33,102 = 33,102 : x
  2. Step 2: Convert to fraction form
    15,342.38/33,102 = 33,102/x
  3. Step 3: Cross multiply
    15,342.38x = 33,102 × 33,102
  4. Step 4: Simplify right side
    15,342.38x = 1,095,742,404
  5. Step 5: Solve for x
    x = 1,095,742,404/15,342.38
  6. Step 6: Final answer
    x = 71,419.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.