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Finding the Third Proportional to 877.71 and 1,853.51

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Solution

The third proportional to 877.71 and 1,853.51 is: 3,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.71 : 1,853.51 = 1,853.51 : x
  2. Step 2: Convert to fraction form
    877.71/1,853.51 = 1,853.51/x
  3. Step 3: Cross multiply
    877.71x = 1,853.51 × 1,853.51
  4. Step 4: Simplify right side
    877.71x = 3,435,491.21
  5. Step 5: Solve for x
    x = 3,435,491.21/877.71
  6. Step 6: Final answer
    x = 3,914.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.