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Finding the Third Proportional to 24,714.75 and 53,619.75

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Solution

The third proportional to 24,714.75 and 53,619.75 is: 116,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.75 : 53,619.75 = 53,619.75 : x
  2. Step 2: Convert to fraction form
    24,714.75/53,619.75 = 53,619.75/x
  3. Step 3: Cross multiply
    24,714.75x = 53,619.75 × 53,619.75
  4. Step 4: Simplify right side
    24,714.75x = 2,875,077,590.06
  5. Step 5: Solve for x
    x = 2,875,077,590.06/24,714.75
  6. Step 6: Final answer
    x = 116,330.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.