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Finding the Third Proportional to 19,473 and 42,550

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Solution

The third proportional to 19,473 and 42,550 is: 92,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473 : 42,550 = 42,550 : x
  2. Step 2: Convert to fraction form
    19,473/42,550 = 42,550/x
  3. Step 3: Cross multiply
    19,473x = 42,550 × 42,550
  4. Step 4: Simplify right side
    19,473x = 1,810,502,500
  5. Step 5: Solve for x
    x = 1,810,502,500/19,473
  6. Step 6: Final answer
    x = 92,975.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.