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Finding the Third Proportional to 8,673.75 and 21,559.50

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Solution

The third proportional to 8,673.75 and 21,559.50 is: 53,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.75 : 21,559.50 = 21,559.50 : x
  2. Step 2: Convert to fraction form
    8,673.75/21,559.50 = 21,559.50/x
  3. Step 3: Cross multiply
    8,673.75x = 21,559.50 × 21,559.50
  4. Step 4: Simplify right side
    8,673.75x = 464,812,040.25
  5. Step 5: Solve for x
    x = 464,812,040.25/8,673.75
  6. Step 6: Final answer
    x = 53,588.36

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.