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Finding the Third Proportional to 19,902 and 29,277

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Solution

The third proportional to 19,902 and 29,277 is: 43,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902 : 29,277 = 29,277 : x
  2. Step 2: Convert to fraction form
    19,902/29,277 = 29,277/x
  3. Step 3: Cross multiply
    19,902x = 29,277 × 29,277
  4. Step 4: Simplify right side
    19,902x = 857,142,729
  5. Step 5: Solve for x
    x = 857,142,729/19,902
  6. Step 6: Final answer
    x = 43,068.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.