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Finding the Third Proportional to 31,643.16 and 67,307.20

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Solution

The third proportional to 31,643.16 and 67,307.20 is: 143,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.16 : 67,307.20 = 67,307.20 : x
  2. Step 2: Convert to fraction form
    31,643.16/67,307.20 = 67,307.20/x
  3. Step 3: Cross multiply
    31,643.16x = 67,307.20 × 67,307.20
  4. Step 4: Simplify right side
    31,643.16x = 4,530,259,592.51
  5. Step 5: Solve for x
    x = 4,530,259,592.51/31,643.16
  6. Step 6: Final answer
    x = 143,167.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.