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Finding the Third Proportional to 21,056 and 45,376

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Solution

The third proportional to 21,056 and 45,376 is: 97,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056 : 45,376 = 45,376 : x
  2. Step 2: Convert to fraction form
    21,056/45,376 = 45,376/x
  3. Step 3: Cross multiply
    21,056x = 45,376 × 45,376
  4. Step 4: Simplify right side
    21,056x = 2,058,981,376
  5. Step 5: Solve for x
    x = 2,058,981,376/21,056
  6. Step 6: Final answer
    x = 97,785.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.