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Finding the Third Proportional to 35,513.44 and 78,909.47

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Solution

The third proportional to 35,513.44 and 78,909.47 is: 175,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.44 : 78,909.47 = 78,909.47 : x
  2. Step 2: Convert to fraction form
    35,513.44/78,909.47 = 78,909.47/x
  3. Step 3: Cross multiply
    35,513.44x = 78,909.47 × 78,909.47
  4. Step 4: Simplify right side
    35,513.44x = 6,226,704,258.41
  5. Step 5: Solve for x
    x = 6,226,704,258.41/35,513.44
  6. Step 6: Final answer
    x = 175,333.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.