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Finding the Third Proportional to 31,346 and 67,066

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Solution

The third proportional to 31,346 and 67,066 is: 143,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346 : 67,066 = 67,066 : x
  2. Step 2: Convert to fraction form
    31,346/67,066 = 67,066/x
  3. Step 3: Cross multiply
    31,346x = 67,066 × 67,066
  4. Step 4: Simplify right side
    31,346x = 4,497,848,356
  5. Step 5: Solve for x
    x = 4,497,848,356/31,346
  6. Step 6: Final answer
    x = 143,490.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.