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Finding the Third Proportional to 9,434.81 and 13,878.84

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Solution

The third proportional to 9,434.81 and 13,878.84 is: 20,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.81 : 13,878.84 = 13,878.84 : x
  2. Step 2: Convert to fraction form
    9,434.81/13,878.84 = 13,878.84/x
  3. Step 3: Cross multiply
    9,434.81x = 13,878.84 × 13,878.84
  4. Step 4: Simplify right side
    9,434.81x = 192,622,303.84
  5. Step 5: Solve for x
    x = 192,622,303.84/9,434.81
  6. Step 6: Final answer
    x = 20,416.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.