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Finding the Third Proportional to 9,127.69 and 15,374.81

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Solution

The third proportional to 9,127.69 and 15,374.81 is: 25,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.69 : 15,374.81 = 15,374.81 : x
  2. Step 2: Convert to fraction form
    9,127.69/15,374.81 = 15,374.81/x
  3. Step 3: Cross multiply
    9,127.69x = 15,374.81 × 15,374.81
  4. Step 4: Simplify right side
    9,127.69x = 236,384,859.41
  5. Step 5: Solve for x
    x = 236,384,859.41/9,127.69
  6. Step 6: Final answer
    x = 25,897.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.