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Finding the Third Proportional to 24,563.25 and 53,095.50

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Solution

The third proportional to 24,563.25 and 53,095.50 is: 114,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.25 : 53,095.50 = 53,095.50 : x
  2. Step 2: Convert to fraction form
    24,563.25/53,095.50 = 53,095.50/x
  3. Step 3: Cross multiply
    24,563.25x = 53,095.50 × 53,095.50
  4. Step 4: Simplify right side
    24,563.25x = 2,819,132,120.25
  5. Step 5: Solve for x
    x = 2,819,132,120.25/24,563.25
  6. Step 6: Final answer
    x = 114,770.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.