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Finding the Third Proportional to 19,684.69 and 42,649.88

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Solution

The third proportional to 19,684.69 and 42,649.88 is: 92,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.69 : 42,649.88 = 42,649.88 : x
  2. Step 2: Convert to fraction form
    19,684.69/42,649.88 = 42,649.88/x
  3. Step 3: Cross multiply
    19,684.69x = 42,649.88 × 42,649.88
  4. Step 4: Simplify right side
    19,684.69x = 1,819,011,837.52
  5. Step 5: Solve for x
    x = 1,819,011,837.52/19,684.69
  6. Step 6: Final answer
    x = 92,407.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.