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Finding the Third Proportional to 9,881.16 and 23,325.05

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Solution

The third proportional to 9,881.16 and 23,325.05 is: 55,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.16 : 23,325.05 = 23,325.05 : x
  2. Step 2: Convert to fraction form
    9,881.16/23,325.05 = 23,325.05/x
  3. Step 3: Cross multiply
    9,881.16x = 23,325.05 × 23,325.05
  4. Step 4: Simplify right side
    9,881.16x = 544,057,811.72
  5. Step 5: Solve for x
    x = 544,057,811.72/9,881.16
  6. Step 6: Final answer
    x = 55,060.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.