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Finding the Third Proportional to 7,542 and 15,772.50

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Solution

The third proportional to 7,542 and 15,772.50 is: 32,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542 : 15,772.50 = 15,772.50 : x
  2. Step 2: Convert to fraction form
    7,542/15,772.50 = 15,772.50/x
  3. Step 3: Cross multiply
    7,542x = 15,772.50 × 15,772.50
  4. Step 4: Simplify right side
    7,542x = 248,771,756.25
  5. Step 5: Solve for x
    x = 248,771,756.25/7,542
  6. Step 6: Final answer
    x = 32,984.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.