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Finding the Third Proportional to 10,897.98 and 23,538.73

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Solution

The third proportional to 10,897.98 and 23,538.73 is: 50,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.98 : 23,538.73 = 23,538.73 : x
  2. Step 2: Convert to fraction form
    10,897.98/23,538.73 = 23,538.73/x
  3. Step 3: Cross multiply
    10,897.98x = 23,538.73 × 23,538.73
  4. Step 4: Simplify right side
    10,897.98x = 554,071,648.18
  5. Step 5: Solve for x
    x = 554,071,648.18/10,897.98
  6. Step 6: Final answer
    x = 50,841.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.