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Finding the Third Proportional to 19,747.55 and 42,274.41

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Solution

The third proportional to 19,747.55 and 42,274.41 is: 90,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,747.55 : 42,274.41 = 42,274.41 : x
  2. Step 2: Convert to fraction form
    19,747.55/42,274.41 = 42,274.41/x
  3. Step 3: Cross multiply
    19,747.55x = 42,274.41 × 42,274.41
  4. Step 4: Simplify right side
    19,747.55x = 1,787,125,423.79
  5. Step 5: Solve for x
    x = 1,787,125,423.79/19,747.55
  6. Step 6: Final answer
    x = 90,498.60

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