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Finding the Third Proportional to 17,386.21 and 37,232.47

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Solution

The third proportional to 17,386.21 and 37,232.47 is: 79,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386.21 : 37,232.47 = 37,232.47 : x
  2. Step 2: Convert to fraction form
    17,386.21/37,232.47 = 37,232.47/x
  3. Step 3: Cross multiply
    17,386.21x = 37,232.47 × 37,232.47
  4. Step 4: Simplify right side
    17,386.21x = 1,386,257,020.10
  5. Step 5: Solve for x
    x = 1,386,257,020.10/17,386.21
  6. Step 6: Final answer
    x = 79,733.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.