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Finding the Third Proportional to 9,393.47 and 14,435.72

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Solution

The third proportional to 9,393.47 and 14,435.72 is: 22,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.47 : 14,435.72 = 14,435.72 : x
  2. Step 2: Convert to fraction form
    9,393.47/14,435.72 = 14,435.72/x
  3. Step 3: Cross multiply
    9,393.47x = 14,435.72 × 14,435.72
  4. Step 4: Simplify right side
    9,393.47x = 208,389,975.83
  5. Step 5: Solve for x
    x = 208,389,975.83/9,393.47
  6. Step 6: Final answer
    x = 22,184.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.