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Finding the Third Proportional to 22,897 and 36,325.50

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Solution

The third proportional to 22,897 and 36,325.50 is: 57,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897 : 36,325.50 = 36,325.50 : x
  2. Step 2: Convert to fraction form
    22,897/36,325.50 = 36,325.50/x
  3. Step 3: Cross multiply
    22,897x = 36,325.50 × 36,325.50
  4. Step 4: Simplify right side
    22,897x = 1,319,541,950.25
  5. Step 5: Solve for x
    x = 1,319,541,950.25/22,897
  6. Step 6: Final answer
    x = 57,629.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.