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Finding the Third Proportional to 18,681.47 and 40,415.63

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Solution

The third proportional to 18,681.47 and 40,415.63 is: 87,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.47 : 40,415.63 = 40,415.63 : x
  2. Step 2: Convert to fraction form
    18,681.47/40,415.63 = 40,415.63/x
  3. Step 3: Cross multiply
    18,681.47x = 40,415.63 × 40,415.63
  4. Step 4: Simplify right side
    18,681.47x = 1,633,422,744.14
  5. Step 5: Solve for x
    x = 1,633,422,744.14/18,681.47
  6. Step 6: Final answer
    x = 87,435.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.