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Finding the Third Proportional to 7,012.50 and 10,533

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Solution

The third proportional to 7,012.50 and 10,533 is: 15,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.50 : 10,533 = 10,533 : x
  2. Step 2: Convert to fraction form
    7,012.50/10,533 = 10,533/x
  3. Step 3: Cross multiply
    7,012.50x = 10,533 × 10,533
  4. Step 4: Simplify right side
    7,012.50x = 110,944,089
  5. Step 5: Solve for x
    x = 110,944,089/7,012.50
  6. Step 6: Final answer
    x = 15,820.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.