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Finding the Third Proportional to 28,780 and 42,141

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Solution

The third proportional to 28,780 and 42,141 is: 61,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,780 : 42,141 = 42,141 : x
  2. Step 2: Convert to fraction form
    28,780/42,141 = 42,141/x
  3. Step 3: Cross multiply
    28,780x = 42,141 × 42,141
  4. Step 4: Simplify right side
    28,780x = 1,775,863,881
  5. Step 5: Solve for x
    x = 1,775,863,881/28,780
  6. Step 6: Final answer
    x = 61,704.79

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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.