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Finding the Third Proportional to 15,803 and 35,110

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Solution

The third proportional to 15,803 and 35,110 is: 78,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803 : 35,110 = 35,110 : x
  2. Step 2: Convert to fraction form
    15,803/35,110 = 35,110/x
  3. Step 3: Cross multiply
    15,803x = 35,110 × 35,110
  4. Step 4: Simplify right side
    15,803x = 1,232,712,100
  5. Step 5: Solve for x
    x = 1,232,712,100/15,803
  6. Step 6: Final answer
    x = 78,004.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.