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Finding the Third Proportional to 9,463.71 and 13,270.08

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Solution

The third proportional to 9,463.71 and 13,270.08 is: 18,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.71 : 13,270.08 = 13,270.08 : x
  2. Step 2: Convert to fraction form
    9,463.71/13,270.08 = 13,270.08/x
  3. Step 3: Cross multiply
    9,463.71x = 13,270.08 × 13,270.08
  4. Step 4: Simplify right side
    9,463.71x = 176,094,973.44
  5. Step 5: Solve for x
    x = 176,094,973.44/9,463.71
  6. Step 6: Final answer
    x = 18,607.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.