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Finding the Third Proportional to 15,201 and 32,859

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Solution

The third proportional to 15,201 and 32,859 is: 71,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201 : 32,859 = 32,859 : x
  2. Step 2: Convert to fraction form
    15,201/32,859 = 32,859/x
  3. Step 3: Cross multiply
    15,201x = 32,859 × 32,859
  4. Step 4: Simplify right side
    15,201x = 1,079,713,881
  5. Step 5: Solve for x
    x = 1,079,713,881/15,201
  6. Step 6: Final answer
    x = 71,029.13

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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.