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Finding the Third Proportional to 22,713 and 53,866.50

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Solution

The third proportional to 22,713 and 53,866.50 is: 127,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713 : 53,866.50 = 53,866.50 : x
  2. Step 2: Convert to fraction form
    22,713/53,866.50 = 53,866.50/x
  3. Step 3: Cross multiply
    22,713x = 53,866.50 × 53,866.50
  4. Step 4: Simplify right side
    22,713x = 2,901,599,822.25
  5. Step 5: Solve for x
    x = 2,901,599,822.25/22,713
  6. Step 6: Final answer
    x = 127,750.62

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.