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Finding the Third Proportional to 14.95 and 32.51

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Solution

The third proportional to 14.95 and 32.51 is: 70.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.95 : 32.51 = 32.51 : x
  2. Step 2: Convert to fraction form
    14.95/32.51 = 32.51/x
  3. Step 3: Cross multiply
    14.95x = 32.51 × 32.51
  4. Step 4: Simplify right side
    14.95x = 1,056.95
  5. Step 5: Solve for x
    x = 1,056.95/14.95
  6. Step 6: Final answer
    x = 70.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.