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Finding the Third Proportional to 21,053 and 45,571

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Solution

The third proportional to 21,053 and 45,571 is: 98,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053 : 45,571 = 45,571 : x
  2. Step 2: Convert to fraction form
    21,053/45,571 = 45,571/x
  3. Step 3: Cross multiply
    21,053x = 45,571 × 45,571
  4. Step 4: Simplify right side
    21,053x = 2,076,716,041
  5. Step 5: Solve for x
    x = 2,076,716,041/21,053
  6. Step 6: Final answer
    x = 98,642.29

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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.