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Finding the Third Proportional to 6,586.31 and 9,945.28

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Solution

The third proportional to 6,586.31 and 9,945.28 is: 15,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.31 : 9,945.28 = 9,945.28 : x
  2. Step 2: Convert to fraction form
    6,586.31/9,945.28 = 9,945.28/x
  3. Step 3: Cross multiply
    6,586.31x = 9,945.28 × 9,945.28
  4. Step 4: Simplify right side
    6,586.31x = 98,908,619.14
  5. Step 5: Solve for x
    x = 98,908,619.14/6,586.31
  6. Step 6: Final answer
    x = 15,017.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.