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Finding the Third Proportional to 35,259.68 and 75,440.11

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Solution

The third proportional to 35,259.68 and 75,440.11 is: 161,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,259.68 : 75,440.11 = 75,440.11 : x
  2. Step 2: Convert to fraction form
    35,259.68/75,440.11 = 75,440.11/x
  3. Step 3: Cross multiply
    35,259.68x = 75,440.11 × 75,440.11
  4. Step 4: Simplify right side
    35,259.68x = 5,691,210,102.51
  5. Step 5: Solve for x
    x = 5,691,210,102.51/35,259.68
  6. Step 6: Final answer
    x = 161,408.45

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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.