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Finding the Third Proportional to 9,570.66 and 14,558.48

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Solution

The third proportional to 9,570.66 and 14,558.48 is: 22,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.66 : 14,558.48 = 14,558.48 : x
  2. Step 2: Convert to fraction form
    9,570.66/14,558.48 = 14,558.48/x
  3. Step 3: Cross multiply
    9,570.66x = 14,558.48 × 14,558.48
  4. Step 4: Simplify right side
    9,570.66x = 211,949,467.30
  5. Step 5: Solve for x
    x = 211,949,467.30/9,570.66
  6. Step 6: Final answer
    x = 22,145.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.