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Finding the Third Proportional to 10,064.81 and 15,165.56

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Solution

The third proportional to 10,064.81 and 15,165.56 is: 22,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.81 : 15,165.56 = 15,165.56 : x
  2. Step 2: Convert to fraction form
    10,064.81/15,165.56 = 15,165.56/x
  3. Step 3: Cross multiply
    10,064.81x = 15,165.56 × 15,165.56
  4. Step 4: Simplify right side
    10,064.81x = 229,994,285.94
  5. Step 5: Solve for x
    x = 229,994,285.94/10,064.81
  6. Step 6: Final answer
    x = 22,851.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.