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Finding the Third Proportional to 35,406.50 and 77,057

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Solution

The third proportional to 35,406.50 and 77,057 is: 167,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406.50 : 77,057 = 77,057 : x
  2. Step 2: Convert to fraction form
    35,406.50/77,057 = 77,057/x
  3. Step 3: Cross multiply
    35,406.50x = 77,057 × 77,057
  4. Step 4: Simplify right side
    35,406.50x = 5,937,781,249
  5. Step 5: Solve for x
    x = 5,937,781,249/35,406.50
  6. Step 6: Final answer
    x = 167,703.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.