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Finding the Third Proportional to 10,014.09 and 15,568.03

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Solution

The third proportional to 10,014.09 and 15,568.03 is: 24,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.09 : 15,568.03 = 15,568.03 : x
  2. Step 2: Convert to fraction form
    10,014.09/15,568.03 = 15,568.03/x
  3. Step 3: Cross multiply
    10,014.09x = 15,568.03 × 15,568.03
  4. Step 4: Simplify right side
    10,014.09x = 242,363,597.00
  5. Step 5: Solve for x
    x = 242,363,597.00/10,014.09
  6. Step 6: Final answer
    x = 24,202.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.