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Finding the Third Proportional to 834.19 and 1,929.09

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Solution

The third proportional to 834.19 and 1,929.09 is: 4,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,929.09 = 1,929.09 : x
  2. Step 2: Convert to fraction form
    834.19/1,929.09 = 1,929.09/x
  3. Step 3: Cross multiply
    834.19x = 1,929.09 × 1,929.09
  4. Step 4: Simplify right side
    834.19x = 3,721,402.70
  5. Step 5: Solve for x
    x = 3,721,402.70/834.19
  6. Step 6: Final answer
    x = 4,461.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.