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Finding the Third Proportional to 9,463 and 14,643.50

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Solution

The third proportional to 9,463 and 14,643.50 is: 22,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463 : 14,643.50 = 14,643.50 : x
  2. Step 2: Convert to fraction form
    9,463/14,643.50 = 14,643.50/x
  3. Step 3: Cross multiply
    9,463x = 14,643.50 × 14,643.50
  4. Step 4: Simplify right side
    9,463x = 214,432,092.25
  5. Step 5: Solve for x
    x = 214,432,092.25/9,463
  6. Step 6: Final answer
    x = 22,660.05

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