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Finding the Third Proportional to 10,122.47 and 15,757.03

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Solution

The third proportional to 10,122.47 and 15,757.03 is: 24,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.47 : 15,757.03 = 15,757.03 : x
  2. Step 2: Convert to fraction form
    10,122.47/15,757.03 = 15,757.03/x
  3. Step 3: Cross multiply
    10,122.47x = 15,757.03 × 15,757.03
  4. Step 4: Simplify right side
    10,122.47x = 248,284,033.81
  5. Step 5: Solve for x
    x = 248,284,033.81/10,122.47
  6. Step 6: Final answer
    x = 24,528.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.