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Finding the Third Proportional to 31,966.25 and 67,303

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Solution

The third proportional to 31,966.25 and 67,303 is: 141,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966.25 : 67,303 = 67,303 : x
  2. Step 2: Convert to fraction form
    31,966.25/67,303 = 67,303/x
  3. Step 3: Cross multiply
    31,966.25x = 67,303 × 67,303
  4. Step 4: Simplify right side
    31,966.25x = 4,529,693,809
  5. Step 5: Solve for x
    x = 4,529,693,809/31,966.25
  6. Step 6: Final answer
    x = 141,702.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.