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Finding the Third Proportional to 9,180 and 14,325.19

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Solution

The third proportional to 9,180 and 14,325.19 is: 22,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 14,325.19 = 14,325.19 : x
  2. Step 2: Convert to fraction form
    9,180/14,325.19 = 14,325.19/x
  3. Step 3: Cross multiply
    9,180x = 14,325.19 × 14,325.19
  4. Step 4: Simplify right side
    9,180x = 205,210,996.91
  5. Step 5: Solve for x
    x = 205,210,996.91/9,180
  6. Step 6: Final answer
    x = 22,354.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.