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Finding the Third Proportional to 35,203.15 and 73,318.50

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Solution

The third proportional to 35,203.15 and 73,318.50 is: 152,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.15 : 73,318.50 = 73,318.50 : x
  2. Step 2: Convert to fraction form
    35,203.15/73,318.50 = 73,318.50/x
  3. Step 3: Cross multiply
    35,203.15x = 73,318.50 × 73,318.50
  4. Step 4: Simplify right side
    35,203.15x = 5,375,602,442.25
  5. Step 5: Solve for x
    x = 5,375,602,442.25/35,203.15
  6. Step 6: Final answer
    x = 152,702.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.