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Finding the Third Proportional to 841.69 and 1,840.13

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Solution

The third proportional to 841.69 and 1,840.13 is: 4,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.69 : 1,840.13 = 1,840.13 : x
  2. Step 2: Convert to fraction form
    841.69/1,840.13 = 1,840.13/x
  3. Step 3: Cross multiply
    841.69x = 1,840.13 × 1,840.13
  4. Step 4: Simplify right side
    841.69x = 3,386,060.02
  5. Step 5: Solve for x
    x = 3,386,060.02/841.69
  6. Step 6: Final answer
    x = 4,022.94

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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.