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Finding the Third Proportional to 10,151.16 and 15,271.03

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Solution

The third proportional to 10,151.16 and 15,271.03 is: 22,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.16 : 15,271.03 = 15,271.03 : x
  2. Step 2: Convert to fraction form
    10,151.16/15,271.03 = 15,271.03/x
  3. Step 3: Cross multiply
    10,151.16x = 15,271.03 × 15,271.03
  4. Step 4: Simplify right side
    10,151.16x = 233,204,395.44
  5. Step 5: Solve for x
    x = 233,204,395.44/10,151.16
  6. Step 6: Final answer
    x = 22,973.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.