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Finding the Third Proportional to 32 and 72.50

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Solution

The third proportional to 32 and 72.50 is: 164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 72.50 = 72.50 : x
  2. Step 2: Convert to fraction form
    32/72.50 = 72.50/x
  3. Step 3: Cross multiply
    32x = 72.50 × 72.50
  4. Step 4: Simplify right side
    32x = 5,256.25
  5. Step 5: Solve for x
    x = 5,256.25/32
  6. Step 6: Final answer
    x = 164.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.