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Finding the Third Proportional to 20,068.50 and 31,251.75

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Solution

The third proportional to 20,068.50 and 31,251.75 is: 48,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068.50 : 31,251.75 = 31,251.75 : x
  2. Step 2: Convert to fraction form
    20,068.50/31,251.75 = 31,251.75/x
  3. Step 3: Cross multiply
    20,068.50x = 31,251.75 × 31,251.75
  4. Step 4: Simplify right side
    20,068.50x = 976,671,878.06
  5. Step 5: Solve for x
    x = 976,671,878.06/20,068.50
  6. Step 6: Final answer
    x = 48,666.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.