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Finding the Third Proportional to 22,716 and 53,869.50

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Solution

The third proportional to 22,716 and 53,869.50 is: 127,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716 : 53,869.50 = 53,869.50 : x
  2. Step 2: Convert to fraction form
    22,716/53,869.50 = 53,869.50/x
  3. Step 3: Cross multiply
    22,716x = 53,869.50 × 53,869.50
  4. Step 4: Simplify right side
    22,716x = 2,901,923,030.25
  5. Step 5: Solve for x
    x = 2,901,923,030.25/22,716
  6. Step 6: Final answer
    x = 127,747.98

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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.