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Finding the Third Proportional to 19,017 and 27,838.50

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Solution

The third proportional to 19,017 and 27,838.50 is: 40,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,017 : 27,838.50 = 27,838.50 : x
  2. Step 2: Convert to fraction form
    19,017/27,838.50 = 27,838.50/x
  3. Step 3: Cross multiply
    19,017x = 27,838.50 × 27,838.50
  4. Step 4: Simplify right side
    19,017x = 774,982,082.25
  5. Step 5: Solve for x
    x = 774,982,082.25/19,017
  6. Step 6: Final answer
    x = 40,752.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.