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Finding the Third Proportional to 9,098.50 and 19,291

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Solution

The third proportional to 9,098.50 and 19,291 is: 40,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.50 : 19,291 = 19,291 : x
  2. Step 2: Convert to fraction form
    9,098.50/19,291 = 19,291/x
  3. Step 3: Cross multiply
    9,098.50x = 19,291 × 19,291
  4. Step 4: Simplify right side
    9,098.50x = 372,142,681
  5. Step 5: Solve for x
    x = 372,142,681/9,098.50
  6. Step 6: Final answer
    x = 40,901.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.