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Finding the Third Proportional to 23 and 32.50

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Solution

The third proportional to 23 and 32.50 is: 45.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 32.50 = 32.50 : x
  2. Step 2: Convert to fraction form
    23/32.50 = 32.50/x
  3. Step 3: Cross multiply
    23x = 32.50 × 32.50
  4. Step 4: Simplify right side
    23x = 1,056.25
  5. Step 5: Solve for x
    x = 1,056.25/23
  6. Step 6: Final answer
    x = 45.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.