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Finding the Third Proportional to 13,222.50 and 29,001

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Solution

The third proportional to 13,222.50 and 29,001 is: 63,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.50 : 29,001 = 29,001 : x
  2. Step 2: Convert to fraction form
    13,222.50/29,001 = 29,001/x
  3. Step 3: Cross multiply
    13,222.50x = 29,001 × 29,001
  4. Step 4: Simplify right side
    13,222.50x = 841,058,001
  5. Step 5: Solve for x
    x = 841,058,001/13,222.50
  6. Step 6: Final answer
    x = 63,608.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.