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Finding the Third Proportional to 19,913 and 27,060

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Solution

The third proportional to 19,913 and 27,060 is: 36,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913 : 27,060 = 27,060 : x
  2. Step 2: Convert to fraction form
    19,913/27,060 = 27,060/x
  3. Step 3: Cross multiply
    19,913x = 27,060 × 27,060
  4. Step 4: Simplify right side
    19,913x = 732,243,600
  5. Step 5: Solve for x
    x = 732,243,600/19,913
  6. Step 6: Final answer
    x = 36,772.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.