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Finding the Third Proportional to 886.81 and 1,929.05

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Solution

The third proportional to 886.81 and 1,929.05 is: 4,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.81 : 1,929.05 = 1,929.05 : x
  2. Step 2: Convert to fraction form
    886.81/1,929.05 = 1,929.05/x
  3. Step 3: Cross multiply
    886.81x = 1,929.05 × 1,929.05
  4. Step 4: Simplify right side
    886.81x = 3,721,233.15
  5. Step 5: Solve for x
    x = 3,721,233.15/886.81
  6. Step 6: Final answer
    x = 4,196.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.