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Finding the Third Proportional to 19,514 and 42,313

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Solution

The third proportional to 19,514 and 42,313 is: 91,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514 : 42,313 = 42,313 : x
  2. Step 2: Convert to fraction form
    19,514/42,313 = 42,313/x
  3. Step 3: Cross multiply
    19,514x = 42,313 × 42,313
  4. Step 4: Simplify right side
    19,514x = 1,790,389,969
  5. Step 5: Solve for x
    x = 1,790,389,969/19,514
  6. Step 6: Final answer
    x = 91,749.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.