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Finding the Third Proportional to 9,657.14 and 14,945.34

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Solution

The third proportional to 9,657.14 and 14,945.34 is: 23,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.14 : 14,945.34 = 14,945.34 : x
  2. Step 2: Convert to fraction form
    9,657.14/14,945.34 = 14,945.34/x
  3. Step 3: Cross multiply
    9,657.14x = 14,945.34 × 14,945.34
  4. Step 4: Simplify right side
    9,657.14x = 223,363,299.81
  5. Step 5: Solve for x
    x = 223,363,299.81/9,657.14
  6. Step 6: Final answer
    x = 23,129.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.