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Finding the Third Proportional to 26,925 and 42,348

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Solution

The third proportional to 26,925 and 42,348 is: 66,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,925 : 42,348 = 42,348 : x
  2. Step 2: Convert to fraction form
    26,925/42,348 = 42,348/x
  3. Step 3: Cross multiply
    26,925x = 42,348 × 42,348
  4. Step 4: Simplify right side
    26,925x = 1,793,353,104
  5. Step 5: Solve for x
    x = 1,793,353,104/26,925
  6. Step 6: Final answer
    x = 66,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.