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Finding the Third Proportional to 19,116 and 39,582

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Solution

The third proportional to 19,116 and 39,582 is: 81,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116 : 39,582 = 39,582 : x
  2. Step 2: Convert to fraction form
    19,116/39,582 = 39,582/x
  3. Step 3: Cross multiply
    19,116x = 39,582 × 39,582
  4. Step 4: Simplify right side
    19,116x = 1,566,734,724
  5. Step 5: Solve for x
    x = 1,566,734,724/19,116
  6. Step 6: Final answer
    x = 81,959.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.