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Finding the Third Proportional to 6,721.31 and 9,833.06

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Solution

The third proportional to 6,721.31 and 9,833.06 is: 14,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.31 : 9,833.06 = 9,833.06 : x
  2. Step 2: Convert to fraction form
    6,721.31/9,833.06 = 9,833.06/x
  3. Step 3: Cross multiply
    6,721.31x = 9,833.06 × 9,833.06
  4. Step 4: Simplify right side
    6,721.31x = 96,689,118.13
  5. Step 5: Solve for x
    x = 96,689,118.13/6,721.31
  6. Step 6: Final answer
    x = 14,385.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.