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Finding the Third Proportional to 8,534.25 and 18,453.94

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Solution

The third proportional to 8,534.25 and 18,453.94 is: 39,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.25 : 18,453.94 = 18,453.94 : x
  2. Step 2: Convert to fraction form
    8,534.25/18,453.94 = 18,453.94/x
  3. Step 3: Cross multiply
    8,534.25x = 18,453.94 × 18,453.94
  4. Step 4: Simplify right side
    8,534.25x = 340,547,809.25
  5. Step 5: Solve for x
    x = 340,547,809.25/8,534.25
  6. Step 6: Final answer
    x = 39,903.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.