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Finding the Third Proportional to 19,341 and 45,423

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Solution

The third proportional to 19,341 and 45,423 is: 106,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,341 : 45,423 = 45,423 : x
  2. Step 2: Convert to fraction form
    19,341/45,423 = 45,423/x
  3. Step 3: Cross multiply
    19,341x = 45,423 × 45,423
  4. Step 4: Simplify right side
    19,341x = 2,063,248,929
  5. Step 5: Solve for x
    x = 2,063,248,929/19,341
  6. Step 6: Final answer
    x = 106,677.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.