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Finding the Third Proportional to 5,833.13 and 8,966.25

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Solution

The third proportional to 5,833.13 and 8,966.25 is: 13,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.13 : 8,966.25 = 8,966.25 : x
  2. Step 2: Convert to fraction form
    5,833.13/8,966.25 = 8,966.25/x
  3. Step 3: Cross multiply
    5,833.13x = 8,966.25 × 8,966.25
  4. Step 4: Simplify right side
    5,833.13x = 80,393,639.06
  5. Step 5: Solve for x
    x = 80,393,639.06/5,833.13
  6. Step 6: Final answer
    x = 13,782.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.