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Finding the Third Proportional to 10,536.33 and 15,776.02

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Solution

The third proportional to 10,536.33 and 15,776.02 is: 23,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.33 : 15,776.02 = 15,776.02 : x
  2. Step 2: Convert to fraction form
    10,536.33/15,776.02 = 15,776.02/x
  3. Step 3: Cross multiply
    10,536.33x = 15,776.02 × 15,776.02
  4. Step 4: Simplify right side
    10,536.33x = 248,882,669.00
  5. Step 5: Solve for x
    x = 248,882,669.00/10,536.33
  6. Step 6: Final answer
    x = 23,621.39

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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.