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Finding the Third Proportional to 18,938 and 42,953

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Solution

The third proportional to 18,938 and 42,953 is: 97,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,938 : 42,953 = 42,953 : x
  2. Step 2: Convert to fraction form
    18,938/42,953 = 42,953/x
  3. Step 3: Cross multiply
    18,938x = 42,953 × 42,953
  4. Step 4: Simplify right side
    18,938x = 1,844,960,209
  5. Step 5: Solve for x
    x = 1,844,960,209/18,938
  6. Step 6: Final answer
    x = 97,421.07

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.