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Finding the Third Proportional to 34,597.13 and 75,795.75

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Solution

The third proportional to 34,597.13 and 75,795.75 is: 166,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.13 : 75,795.75 = 75,795.75 : x
  2. Step 2: Convert to fraction form
    34,597.13/75,795.75 = 75,795.75/x
  3. Step 3: Cross multiply
    34,597.13x = 75,795.75 × 75,795.75
  4. Step 4: Simplify right side
    34,597.13x = 5,744,995,718.06
  5. Step 5: Solve for x
    x = 5,744,995,718.06/34,597.13
  6. Step 6: Final answer
    x = 166,054.14

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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.