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Finding the Third Proportional to 19,750 and 42,313

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Solution

The third proportional to 19,750 and 42,313 is: 90,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,750 : 42,313 = 42,313 : x
  2. Step 2: Convert to fraction form
    19,750/42,313 = 42,313/x
  3. Step 3: Cross multiply
    19,750x = 42,313 × 42,313
  4. Step 4: Simplify right side
    19,750x = 1,790,389,969
  5. Step 5: Solve for x
    x = 1,790,389,969/19,750
  6. Step 6: Final answer
    x = 90,652.66

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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.