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Finding the Third Proportional to 11,310 and 26,270.25

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Solution

The third proportional to 11,310 and 26,270.25 is: 61,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310 : 26,270.25 = 26,270.25 : x
  2. Step 2: Convert to fraction form
    11,310/26,270.25 = 26,270.25/x
  3. Step 3: Cross multiply
    11,310x = 26,270.25 × 26,270.25
  4. Step 4: Simplify right side
    11,310x = 690,126,035.06
  5. Step 5: Solve for x
    x = 690,126,035.06/11,310
  6. Step 6: Final answer
    x = 61,019.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.