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Finding the Third Proportional to 10,971.56 and 24,184.13

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Solution

The third proportional to 10,971.56 and 24,184.13 is: 53,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.56 : 24,184.13 = 24,184.13 : x
  2. Step 2: Convert to fraction form
    10,971.56/24,184.13 = 24,184.13/x
  3. Step 3: Cross multiply
    10,971.56x = 24,184.13 × 24,184.13
  4. Step 4: Simplify right side
    10,971.56x = 584,871,902.02
  5. Step 5: Solve for x
    x = 584,871,902.02/10,971.56
  6. Step 6: Final answer
    x = 53,307.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.