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Finding the Third Proportional to 10,810 and 23,515

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Solution

The third proportional to 10,810 and 23,515 is: 51,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810 : 23,515 = 23,515 : x
  2. Step 2: Convert to fraction form
    10,810/23,515 = 23,515/x
  3. Step 3: Cross multiply
    10,810x = 23,515 × 23,515
  4. Step 4: Simplify right side
    10,810x = 552,955,225
  5. Step 5: Solve for x
    x = 552,955,225/10,810
  6. Step 6: Final answer
    x = 51,152.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.