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Finding the Third Proportional to 9,068 and 13,658.50

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Solution

The third proportional to 9,068 and 13,658.50 is: 20,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068 : 13,658.50 = 13,658.50 : x
  2. Step 2: Convert to fraction form
    9,068/13,658.50 = 13,658.50/x
  3. Step 3: Cross multiply
    9,068x = 13,658.50 × 13,658.50
  4. Step 4: Simplify right side
    9,068x = 186,554,622.25
  5. Step 5: Solve for x
    x = 186,554,622.25/9,068
  6. Step 6: Final answer
    x = 20,572.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.