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Finding the Third Proportional to 10,207.50 and 14,374.50

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Solution

The third proportional to 10,207.50 and 14,374.50 is: 20,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.50 : 14,374.50 = 14,374.50 : x
  2. Step 2: Convert to fraction form
    10,207.50/14,374.50 = 14,374.50/x
  3. Step 3: Cross multiply
    10,207.50x = 14,374.50 × 14,374.50
  4. Step 4: Simplify right side
    10,207.50x = 206,626,250.25
  5. Step 5: Solve for x
    x = 206,626,250.25/10,207.50
  6. Step 6: Final answer
    x = 20,242.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.