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Finding the Third Proportional to 10,102.50 and 21,813

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Solution

The third proportional to 10,102.50 and 21,813 is: 47,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.50 : 21,813 = 21,813 : x
  2. Step 2: Convert to fraction form
    10,102.50/21,813 = 21,813/x
  3. Step 3: Cross multiply
    10,102.50x = 21,813 × 21,813
  4. Step 4: Simplify right side
    10,102.50x = 475,806,969
  5. Step 5: Solve for x
    x = 475,806,969/10,102.50
  6. Step 6: Final answer
    x = 47,097.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.