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Finding the Third Proportional to 19,543.88 and 30,273

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Solution

The third proportional to 19,543.88 and 30,273 is: 46,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.88 : 30,273 = 30,273 : x
  2. Step 2: Convert to fraction form
    19,543.88/30,273 = 30,273/x
  3. Step 3: Cross multiply
    19,543.88x = 30,273 × 30,273
  4. Step 4: Simplify right side
    19,543.88x = 916,454,529
  5. Step 5: Solve for x
    x = 916,454,529/19,543.88
  6. Step 6: Final answer
    x = 46,892.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.