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Finding the Third Proportional to 15.04 and 32.46

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Solution

The third proportional to 15.04 and 32.46 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.04 : 32.46 = 32.46 : x
  2. Step 2: Convert to fraction form
    15.04/32.46 = 32.46/x
  3. Step 3: Cross multiply
    15.04x = 32.46 × 32.46
  4. Step 4: Simplify right side
    15.04x = 1,053.83
  5. Step 5: Solve for x
    x = 1,053.83/15.04
  6. Step 6: Final answer
    x = 70.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.