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Finding the Third Proportional to 10,493.75 and 14,671.75

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Solution

The third proportional to 10,493.75 and 14,671.75 is: 20,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.75 : 14,671.75 = 14,671.75 : x
  2. Step 2: Convert to fraction form
    10,493.75/14,671.75 = 14,671.75/x
  3. Step 3: Cross multiply
    10,493.75x = 14,671.75 × 14,671.75
  4. Step 4: Simplify right side
    10,493.75x = 215,260,248.06
  5. Step 5: Solve for x
    x = 215,260,248.06/10,493.75
  6. Step 6: Final answer
    x = 20,513.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.