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Finding the Third Proportional to 7,536 and 15,603

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Solution

The third proportional to 7,536 and 15,603 is: 32,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 15,603 = 15,603 : x
  2. Step 2: Convert to fraction form
    7,536/15,603 = 15,603/x
  3. Step 3: Cross multiply
    7,536x = 15,603 × 15,603
  4. Step 4: Simplify right side
    7,536x = 243,453,609
  5. Step 5: Solve for x
    x = 243,453,609/7,536
  6. Step 6: Final answer
    x = 32,305.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.