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Finding the Third Proportional to 35,263.69 and 75,448.13

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Solution

The third proportional to 35,263.69 and 75,448.13 is: 161,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,263.69 : 75,448.13 = 75,448.13 : x
  2. Step 2: Convert to fraction form
    35,263.69/75,448.13 = 75,448.13/x
  3. Step 3: Cross multiply
    35,263.69x = 75,448.13 × 75,448.13
  4. Step 4: Simplify right side
    35,263.69x = 5,692,419,566.02
  5. Step 5: Solve for x
    x = 5,692,419,566.02/35,263.69
  6. Step 6: Final answer
    x = 161,424.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.