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Finding the Third Proportional to 35,678.29 and 77,507.51

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Solution

The third proportional to 35,678.29 and 77,507.51 is: 168,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.29 : 77,507.51 = 77,507.51 : x
  2. Step 2: Convert to fraction form
    35,678.29/77,507.51 = 77,507.51/x
  3. Step 3: Cross multiply
    35,678.29x = 77,507.51 × 77,507.51
  4. Step 4: Simplify right side
    35,678.29x = 6,007,413,767.30
  5. Step 5: Solve for x
    x = 6,007,413,767.30/35,678.29
  6. Step 6: Final answer
    x = 168,377.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.