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Finding the Third Proportional to 9,718.41 and 15,007.13

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Solution

The third proportional to 9,718.41 and 15,007.13 is: 23,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.41 : 15,007.13 = 15,007.13 : x
  2. Step 2: Convert to fraction form
    9,718.41/15,007.13 = 15,007.13/x
  3. Step 3: Cross multiply
    9,718.41x = 15,007.13 × 15,007.13
  4. Step 4: Simplify right side
    9,718.41x = 225,213,800.77
  5. Step 5: Solve for x
    x = 225,213,800.77/9,718.41
  6. Step 6: Final answer
    x = 23,173.94

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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.