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Finding the Third Proportional to 35,091 and 52,119

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Solution

The third proportional to 35,091 and 52,119 is: 77,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,091 : 52,119 = 52,119 : x
  2. Step 2: Convert to fraction form
    35,091/52,119 = 52,119/x
  3. Step 3: Cross multiply
    35,091x = 52,119 × 52,119
  4. Step 4: Simplify right side
    35,091x = 2,716,390,161
  5. Step 5: Solve for x
    x = 2,716,390,161/35,091
  6. Step 6: Final answer
    x = 77,409.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.