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Finding the Third Proportional to 9,063 and 14,494.50

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Solution

The third proportional to 9,063 and 14,494.50 is: 23,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063 : 14,494.50 = 14,494.50 : x
  2. Step 2: Convert to fraction form
    9,063/14,494.50 = 14,494.50/x
  3. Step 3: Cross multiply
    9,063x = 14,494.50 × 14,494.50
  4. Step 4: Simplify right side
    9,063x = 210,090,530.25
  5. Step 5: Solve for x
    x = 210,090,530.25/9,063
  6. Step 6: Final answer
    x = 23,181.12

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.