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Finding the Third Proportional to 23,909.98 and 52,364.81

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Solution

The third proportional to 23,909.98 and 52,364.81 is: 114,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.98 : 52,364.81 = 52,364.81 : x
  2. Step 2: Convert to fraction form
    23,909.98/52,364.81 = 52,364.81/x
  3. Step 3: Cross multiply
    23,909.98x = 52,364.81 × 52,364.81
  4. Step 4: Simplify right side
    23,909.98x = 2,742,073,588.16
  5. Step 5: Solve for x
    x = 2,742,073,588.16/23,909.98
  6. Step 6: Final answer
    x = 114,683.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.