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Finding the Third Proportional to 988.94 and 1,537.41

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Solution

The third proportional to 988.94 and 1,537.41 is: 2,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.94 : 1,537.41 = 1,537.41 : x
  2. Step 2: Convert to fraction form
    988.94/1,537.41 = 1,537.41/x
  3. Step 3: Cross multiply
    988.94x = 1,537.41 × 1,537.41
  4. Step 4: Simplify right side
    988.94x = 2,363,617.98
  5. Step 5: Solve for x
    x = 2,363,617.98/988.94
  6. Step 6: Final answer
    x = 2,390.06

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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.