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Finding the Third Proportional to 31,267.27 and 64,607.63

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Solution

The third proportional to 31,267.27 and 64,607.63 is: 133,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.27 : 64,607.63 = 64,607.63 : x
  2. Step 2: Convert to fraction form
    31,267.27/64,607.63 = 64,607.63/x
  3. Step 3: Cross multiply
    31,267.27x = 64,607.63 × 64,607.63
  4. Step 4: Simplify right side
    31,267.27x = 4,174,145,208.14
  5. Step 5: Solve for x
    x = 4,174,145,208.14/31,267.27
  6. Step 6: Final answer
    x = 133,498.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.