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Finding the Third Proportional to 19,971 and 47,489

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Solution

The third proportional to 19,971 and 47,489 is: 112,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 47,489 = 47,489 : x
  2. Step 2: Convert to fraction form
    19,971/47,489 = 47,489/x
  3. Step 3: Cross multiply
    19,971x = 47,489 × 47,489
  4. Step 4: Simplify right side
    19,971x = 2,255,205,121
  5. Step 5: Solve for x
    x = 2,255,205,121/19,971
  6. Step 6: Final answer
    x = 112,924.00

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.