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Finding the Third Proportional to 19,910 and 43,060

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Solution

The third proportional to 19,910 and 43,060 is: 93,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,910 : 43,060 = 43,060 : x
  2. Step 2: Convert to fraction form
    19,910/43,060 = 43,060/x
  3. Step 3: Cross multiply
    19,910x = 43,060 × 43,060
  4. Step 4: Simplify right side
    19,910x = 1,854,163,600
  5. Step 5: Solve for x
    x = 1,854,163,600/19,910
  6. Step 6: Final answer
    x = 93,127.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.