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Finding the Third Proportional to 833.11 and 1,823.16

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Solution

The third proportional to 833.11 and 1,823.16 is: 3,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.11 : 1,823.16 = 1,823.16 : x
  2. Step 2: Convert to fraction form
    833.11/1,823.16 = 1,823.16/x
  3. Step 3: Cross multiply
    833.11x = 1,823.16 × 1,823.16
  4. Step 4: Simplify right side
    833.11x = 3,323,898.71
  5. Step 5: Solve for x
    x = 3,323,898.71/833.11
  6. Step 6: Final answer
    x = 3,989.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.