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Finding the Third Proportional to 10,596.66 and 15,570.56

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Solution

The third proportional to 10,596.66 and 15,570.56 is: 22,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.66 : 15,570.56 = 15,570.56 : x
  2. Step 2: Convert to fraction form
    10,596.66/15,570.56 = 15,570.56/x
  3. Step 3: Cross multiply
    10,596.66x = 15,570.56 × 15,570.56
  4. Step 4: Simplify right side
    10,596.66x = 242,442,416.57
  5. Step 5: Solve for x
    x = 242,442,416.57/10,596.66
  6. Step 6: Final answer
    x = 22,879.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.