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Finding the Third Proportional to 19,116 and 21,900

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Solution

The third proportional to 19,116 and 21,900 is: 25,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116 : 21,900 = 21,900 : x
  2. Step 2: Convert to fraction form
    19,116/21,900 = 21,900/x
  3. Step 3: Cross multiply
    19,116x = 21,900 × 21,900
  4. Step 4: Simplify right side
    19,116x = 479,610,000
  5. Step 5: Solve for x
    x = 479,610,000/19,116
  6. Step 6: Final answer
    x = 25,089.45

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.