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Finding the Third Proportional to 7.80 and 15.93

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Solution

The third proportional to 7.80 and 15.93 is: 32.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.80 : 15.93 = 15.93 : x
  2. Step 2: Convert to fraction form
    7.80/15.93 = 15.93/x
  3. Step 3: Cross multiply
    7.80x = 15.93 × 15.93
  4. Step 4: Simplify right side
    7.80x = 253.63
  5. Step 5: Solve for x
    x = 253.63/7.80
  6. Step 6: Final answer
    x = 32.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.