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Finding the Third Proportional to 15.87 and 22.70

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Solution

The third proportional to 15.87 and 22.70 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.87 : 22.70 = 22.70 : x
  2. Step 2: Convert to fraction form
    15.87/22.70 = 22.70/x
  3. Step 3: Cross multiply
    15.87x = 22.70 × 22.70
  4. Step 4: Simplify right side
    15.87x = 515.39
  5. Step 5: Solve for x
    x = 515.39/15.87
  6. Step 6: Final answer
    x = 32.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.