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Finding the Third Proportional to 7,205 and 15,648

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Solution

The third proportional to 7,205 and 15,648 is: 33,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205 : 15,648 = 15,648 : x
  2. Step 2: Convert to fraction form
    7,205/15,648 = 15,648/x
  3. Step 3: Cross multiply
    7,205x = 15,648 × 15,648
  4. Step 4: Simplify right side
    7,205x = 244,859,904
  5. Step 5: Solve for x
    x = 244,859,904/7,205
  6. Step 6: Final answer
    x = 33,984.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.