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Finding the Third Proportional to 9,239 and 22,274.50

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Solution

The third proportional to 9,239 and 22,274.50 is: 53,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239 : 22,274.50 = 22,274.50 : x
  2. Step 2: Convert to fraction form
    9,239/22,274.50 = 22,274.50/x
  3. Step 3: Cross multiply
    9,239x = 22,274.50 × 22,274.50
  4. Step 4: Simplify right side
    9,239x = 496,153,350.25
  5. Step 5: Solve for x
    x = 496,153,350.25/9,239
  6. Step 6: Final answer
    x = 53,702.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.