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Finding the Third Proportional to 19,730 and 43,100

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Solution

The third proportional to 19,730 and 43,100 is: 94,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730 : 43,100 = 43,100 : x
  2. Step 2: Convert to fraction form
    19,730/43,100 = 43,100/x
  3. Step 3: Cross multiply
    19,730x = 43,100 × 43,100
  4. Step 4: Simplify right side
    19,730x = 1,857,610,000
  5. Step 5: Solve for x
    x = 1,857,610,000/19,730
  6. Step 6: Final answer
    x = 94,151.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.