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Finding the Third Proportional to 8,963 and 19,497.50

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Solution

The third proportional to 8,963 and 19,497.50 is: 42,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963 : 19,497.50 = 19,497.50 : x
  2. Step 2: Convert to fraction form
    8,963/19,497.50 = 19,497.50/x
  3. Step 3: Cross multiply
    8,963x = 19,497.50 × 19,497.50
  4. Step 4: Simplify right side
    8,963x = 380,152,506.25
  5. Step 5: Solve for x
    x = 380,152,506.25/8,963
  6. Step 6: Final answer
    x = 42,413.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.