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Finding the Third Proportional to 27,633.66 and 64,955.67

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Solution

The third proportional to 27,633.66 and 64,955.67 is: 152,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.66 : 64,955.67 = 64,955.67 : x
  2. Step 2: Convert to fraction form
    27,633.66/64,955.67 = 64,955.67/x
  3. Step 3: Cross multiply
    27,633.66x = 64,955.67 × 64,955.67
  4. Step 4: Simplify right side
    27,633.66x = 4,219,239,308.73
  5. Step 5: Solve for x
    x = 4,219,239,308.73/27,633.66
  6. Step 6: Final answer
    x = 152,684.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.