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Finding the Third Proportional to 19,615 and 42,685

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Solution

The third proportional to 19,615 and 42,685 is: 92,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615 : 42,685 = 42,685 : x
  2. Step 2: Convert to fraction form
    19,615/42,685 = 42,685/x
  3. Step 3: Cross multiply
    19,615x = 42,685 × 42,685
  4. Step 4: Simplify right side
    19,615x = 1,822,009,225
  5. Step 5: Solve for x
    x = 1,822,009,225/19,615
  6. Step 6: Final answer
    x = 92,888.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.