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Finding the Third Proportional to 10,305 and 14,197.50

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Solution

The third proportional to 10,305 and 14,197.50 is: 19,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 14,197.50 = 14,197.50 : x
  2. Step 2: Convert to fraction form
    10,305/14,197.50 = 14,197.50/x
  3. Step 3: Cross multiply
    10,305x = 14,197.50 × 14,197.50
  4. Step 4: Simplify right side
    10,305x = 201,569,006.25
  5. Step 5: Solve for x
    x = 201,569,006.25/10,305
  6. Step 6: Final answer
    x = 19,560.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.