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Finding the Third Proportional to 19,116 and 25,818

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Solution

The third proportional to 19,116 and 25,818 is: 34,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116 : 25,818 = 25,818 : x
  2. Step 2: Convert to fraction form
    19,116/25,818 = 25,818/x
  3. Step 3: Cross multiply
    19,116x = 25,818 × 25,818
  4. Step 4: Simplify right side
    19,116x = 666,569,124
  5. Step 5: Solve for x
    x = 666,569,124/19,116
  6. Step 6: Final answer
    x = 34,869.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.