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Finding the Third Proportional to 23,897.53 and 30,105.42

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Solution

The third proportional to 23,897.53 and 30,105.42 is: 37,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.53 : 30,105.42 = 30,105.42 : x
  2. Step 2: Convert to fraction form
    23,897.53/30,105.42 = 30,105.42/x
  3. Step 3: Cross multiply
    23,897.53x = 30,105.42 × 30,105.42
  4. Step 4: Simplify right side
    23,897.53x = 906,336,426.27
  5. Step 5: Solve for x
    x = 906,336,426.27/23,897.53
  6. Step 6: Final answer
    x = 37,925.94

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.