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Finding the Third Proportional to 34,878.09 and 75,280.64

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Solution

The third proportional to 34,878.09 and 75,280.64 is: 162,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878.09 : 75,280.64 = 75,280.64 : x
  2. Step 2: Convert to fraction form
    34,878.09/75,280.64 = 75,280.64/x
  3. Step 3: Cross multiply
    34,878.09x = 75,280.64 × 75,280.64
  4. Step 4: Simplify right side
    34,878.09x = 5,667,174,852.91
  5. Step 5: Solve for x
    x = 5,667,174,852.91/34,878.09
  6. Step 6: Final answer
    x = 162,485.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.