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Finding the Third Proportional to 35,808.75 and 77,203.13

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Solution

The third proportional to 35,808.75 and 77,203.13 is: 166,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,808.75 : 77,203.13 = 77,203.13 : x
  2. Step 2: Convert to fraction form
    35,808.75/77,203.13 = 77,203.13/x
  3. Step 3: Cross multiply
    35,808.75x = 77,203.13 × 77,203.13
  4. Step 4: Simplify right side
    35,808.75x = 5,960,322,509.77
  5. Step 5: Solve for x
    x = 5,960,322,509.77/35,808.75
  6. Step 6: Final answer
    x = 166,448.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.