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Finding the Third Proportional to 11,698.17 and 23,897.53

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Solution

The third proportional to 11,698.17 and 23,897.53 is: 48,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.17 : 23,897.53 = 23,897.53 : x
  2. Step 2: Convert to fraction form
    11,698.17/23,897.53 = 23,897.53/x
  3. Step 3: Cross multiply
    11,698.17x = 23,897.53 × 23,897.53
  4. Step 4: Simplify right side
    11,698.17x = 571,091,999.84
  5. Step 5: Solve for x
    x = 571,091,999.84/11,698.17
  6. Step 6: Final answer
    x = 48,818.91

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.