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Finding the Third Proportional to 1,823.81 and 2,829.47

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Solution

The third proportional to 1,823.81 and 2,829.47 is: 4,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.81 : 2,829.47 = 2,829.47 : x
  2. Step 2: Convert to fraction form
    1,823.81/2,829.47 = 2,829.47/x
  3. Step 3: Cross multiply
    1,823.81x = 2,829.47 × 2,829.47
  4. Step 4: Simplify right side
    1,823.81x = 8,005,893.41
  5. Step 5: Solve for x
    x = 8,005,893.41/1,823.81
  6. Step 6: Final answer
    x = 4,389.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.