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Finding the Third Proportional to 45,879 and 67,047

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Solution

The third proportional to 45,879 and 67,047 is: 97,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,879 : 67,047 = 67,047 : x
  2. Step 2: Convert to fraction form
    45,879/67,047 = 67,047/x
  3. Step 3: Cross multiply
    45,879x = 67,047 × 67,047
  4. Step 4: Simplify right side
    45,879x = 4,495,300,209
  5. Step 5: Solve for x
    x = 4,495,300,209/45,879
  6. Step 6: Final answer
    x = 97,981.65

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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.