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Finding the Third Proportional to 15,953 and 35,110

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Solution

The third proportional to 15,953 and 35,110 is: 77,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953 : 35,110 = 35,110 : x
  2. Step 2: Convert to fraction form
    15,953/35,110 = 35,110/x
  3. Step 3: Cross multiply
    15,953x = 35,110 × 35,110
  4. Step 4: Simplify right side
    15,953x = 1,232,712,100
  5. Step 5: Solve for x
    x = 1,232,712,100/15,953
  6. Step 6: Final answer
    x = 77,271.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.