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Finding the Third Proportional to 28,778 and 42,135

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Solution

The third proportional to 28,778 and 42,135 is: 61,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,778 : 42,135 = 42,135 : x
  2. Step 2: Convert to fraction form
    28,778/42,135 = 42,135/x
  3. Step 3: Cross multiply
    28,778x = 42,135 × 42,135
  4. Step 4: Simplify right side
    28,778x = 1,775,358,225
  5. Step 5: Solve for x
    x = 1,775,358,225/28,778
  6. Step 6: Final answer
    x = 61,691.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.