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Finding the Third Proportional to 5,895 and 9,151.50

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Solution

The third proportional to 5,895 and 9,151.50 is: 14,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895 : 9,151.50 = 9,151.50 : x
  2. Step 2: Convert to fraction form
    5,895/9,151.50 = 9,151.50/x
  3. Step 3: Cross multiply
    5,895x = 9,151.50 × 9,151.50
  4. Step 4: Simplify right side
    5,895x = 83,749,952.25
  5. Step 5: Solve for x
    x = 83,749,952.25/5,895
  6. Step 6: Final answer
    x = 14,206.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.