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Finding the Third Proportional to 14.59 and 31.99

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Solution

The third proportional to 14.59 and 31.99 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.59 : 31.99 = 31.99 : x
  2. Step 2: Convert to fraction form
    14.59/31.99 = 31.99/x
  3. Step 3: Cross multiply
    14.59x = 31.99 × 31.99
  4. Step 4: Simplify right side
    14.59x = 1,023.46
  5. Step 5: Solve for x
    x = 1,023.46/14.59
  6. Step 6: Final answer
    x = 70.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.