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Finding the Third Proportional to 19,396 and 28,336.50

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Solution

The third proportional to 19,396 and 28,336.50 is: 41,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396 : 28,336.50 = 28,336.50 : x
  2. Step 2: Convert to fraction form
    19,396/28,336.50 = 28,336.50/x
  3. Step 3: Cross multiply
    19,396x = 28,336.50 × 28,336.50
  4. Step 4: Simplify right side
    19,396x = 802,957,232.25
  5. Step 5: Solve for x
    x = 802,957,232.25/19,396
  6. Step 6: Final answer
    x = 41,398.08

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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.