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Finding the Third Proportional to 19,970 and 42,610

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Solution

The third proportional to 19,970 and 42,610 is: 90,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970 : 42,610 = 42,610 : x
  2. Step 2: Convert to fraction form
    19,970/42,610 = 42,610/x
  3. Step 3: Cross multiply
    19,970x = 42,610 × 42,610
  4. Step 4: Simplify right side
    19,970x = 1,815,612,100
  5. Step 5: Solve for x
    x = 1,815,612,100/19,970
  6. Step 6: Final answer
    x = 90,916.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.