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Finding the Third Proportional to 10,919.81 and 23,897.53

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Solution

The third proportional to 10,919.81 and 23,897.53 is: 52,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.81 : 23,897.53 = 23,897.53 : x
  2. Step 2: Convert to fraction form
    10,919.81/23,897.53 = 23,897.53/x
  3. Step 3: Cross multiply
    10,919.81x = 23,897.53 × 23,897.53
  4. Step 4: Simplify right side
    10,919.81x = 571,091,999.84
  5. Step 5: Solve for x
    x = 571,091,999.84/10,919.81
  6. Step 6: Final answer
    x = 52,298.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.