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Finding the Third Proportional to 28.95 and 42.48

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Solution

The third proportional to 28.95 and 42.48 is: 62.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.95 : 42.48 = 42.48 : x
  2. Step 2: Convert to fraction form
    28.95/42.48 = 42.48/x
  3. Step 3: Cross multiply
    28.95x = 42.48 × 42.48
  4. Step 4: Simplify right side
    28.95x = 1,804.34
  5. Step 5: Solve for x
    x = 1,804.34/28.95
  6. Step 6: Final answer
    x = 62.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.