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Finding the Third Proportional to 24,366.75 and 53,228.25

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Solution

The third proportional to 24,366.75 and 53,228.25 is: 116,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,366.75 : 53,228.25 = 53,228.25 : x
  2. Step 2: Convert to fraction form
    24,366.75/53,228.25 = 53,228.25/x
  3. Step 3: Cross multiply
    24,366.75x = 53,228.25 × 53,228.25
  4. Step 4: Simplify right side
    24,366.75x = 2,833,246,598.06
  5. Step 5: Solve for x
    x = 2,833,246,598.06/24,366.75
  6. Step 6: Final answer
    x = 116,275.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.