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Finding the Third Proportional to 7,536 and 15,664.50

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Solution

The third proportional to 7,536 and 15,664.50 is: 32,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 15,664.50 = 15,664.50 : x
  2. Step 2: Convert to fraction form
    7,536/15,664.50 = 15,664.50/x
  3. Step 3: Cross multiply
    7,536x = 15,664.50 × 15,664.50
  4. Step 4: Simplify right side
    7,536x = 245,376,560.25
  5. Step 5: Solve for x
    x = 245,376,560.25/7,536
  6. Step 6: Final answer
    x = 32,560.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.