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Finding the Third Proportional to 10,984 and 24,155

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Solution

The third proportional to 10,984 and 24,155 is: 53,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984 : 24,155 = 24,155 : x
  2. Step 2: Convert to fraction form
    10,984/24,155 = 24,155/x
  3. Step 3: Cross multiply
    10,984x = 24,155 × 24,155
  4. Step 4: Simplify right side
    10,984x = 583,464,025
  5. Step 5: Solve for x
    x = 583,464,025/10,984
  6. Step 6: Final answer
    x = 53,119.45

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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.