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Finding the Third Proportional to 35,637.75 and 78,423.75

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Solution

The third proportional to 35,637.75 and 78,423.75 is: 172,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637.75 : 78,423.75 = 78,423.75 : x
  2. Step 2: Convert to fraction form
    35,637.75/78,423.75 = 78,423.75/x
  3. Step 3: Cross multiply
    35,637.75x = 78,423.75 × 78,423.75
  4. Step 4: Simplify right side
    35,637.75x = 6,150,284,564.06
  5. Step 5: Solve for x
    x = 6,150,284,564.06/35,637.75
  6. Step 6: Final answer
    x = 172,577.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.