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Finding the Third Proportional to 23,488.50 and 51,501.75

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Solution

The third proportional to 23,488.50 and 51,501.75 is: 112,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.50 : 51,501.75 = 51,501.75 : x
  2. Step 2: Convert to fraction form
    23,488.50/51,501.75 = 51,501.75/x
  3. Step 3: Cross multiply
    23,488.50x = 51,501.75 × 51,501.75
  4. Step 4: Simplify right side
    23,488.50x = 2,652,430,253.06
  5. Step 5: Solve for x
    x = 2,652,430,253.06/23,488.50
  6. Step 6: Final answer
    x = 112,924.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.