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Finding the Third Proportional to 7,821.56 and 16,681.36

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Solution

The third proportional to 7,821.56 and 16,681.36 is: 35,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.56 : 16,681.36 = 16,681.36 : x
  2. Step 2: Convert to fraction form
    7,821.56/16,681.36 = 16,681.36/x
  3. Step 3: Cross multiply
    7,821.56x = 16,681.36 × 16,681.36
  4. Step 4: Simplify right side
    7,821.56x = 278,267,750.60
  5. Step 5: Solve for x
    x = 278,267,750.60/7,821.56
  6. Step 6: Final answer
    x = 35,577.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.