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Finding the Third Proportional to 19,440 and 41,643

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Solution

The third proportional to 19,440 and 41,643 is: 89,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,440 : 41,643 = 41,643 : x
  2. Step 2: Convert to fraction form
    19,440/41,643 = 41,643/x
  3. Step 3: Cross multiply
    19,440x = 41,643 × 41,643
  4. Step 4: Simplify right side
    19,440x = 1,734,139,449
  5. Step 5: Solve for x
    x = 1,734,139,449/19,440
  6. Step 6: Final answer
    x = 89,204.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.