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Finding the Third Proportional to 22,815 and 53,005.50

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Solution

The third proportional to 22,815 and 53,005.50 is: 123,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815 : 53,005.50 = 53,005.50 : x
  2. Step 2: Convert to fraction form
    22,815/53,005.50 = 53,005.50/x
  3. Step 3: Cross multiply
    22,815x = 53,005.50 × 53,005.50
  4. Step 4: Simplify right side
    22,815x = 2,809,583,030.25
  5. Step 5: Solve for x
    x = 2,809,583,030.25/22,815
  6. Step 6: Final answer
    x = 123,146.31

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.