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Finding the Third Proportional to 6,283.50 and 9,749.25

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Solution

The third proportional to 6,283.50 and 9,749.25 is: 15,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.50 : 9,749.25 = 9,749.25 : x
  2. Step 2: Convert to fraction form
    6,283.50/9,749.25 = 9,749.25/x
  3. Step 3: Cross multiply
    6,283.50x = 9,749.25 × 9,749.25
  4. Step 4: Simplify right side
    6,283.50x = 95,047,875.56
  5. Step 5: Solve for x
    x = 95,047,875.56/6,283.50
  6. Step 6: Final answer
    x = 15,126.58

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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.