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Finding the Third Proportional to 987.19 and 2,392.03

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Solution

The third proportional to 987.19 and 2,392.03 is: 5,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.19 : 2,392.03 = 2,392.03 : x
  2. Step 2: Convert to fraction form
    987.19/2,392.03 = 2,392.03/x
  3. Step 3: Cross multiply
    987.19x = 2,392.03 × 2,392.03
  4. Step 4: Simplify right side
    987.19x = 5,721,813.50
  5. Step 5: Solve for x
    x = 5,721,813.50/987.19
  6. Step 6: Final answer
    x = 5,796.08

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.