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Finding the Third Proportional to 24,725.25 and 56,345.63

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Solution

The third proportional to 24,725.25 and 56,345.63 is: 128,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725.25 : 56,345.63 = 56,345.63 : x
  2. Step 2: Convert to fraction form
    24,725.25/56,345.63 = 56,345.63/x
  3. Step 3: Cross multiply
    24,725.25x = 56,345.63 × 56,345.63
  4. Step 4: Simplify right side
    24,725.25x = 3,174,829,456.64
  5. Step 5: Solve for x
    x = 3,174,829,456.64/24,725.25
  6. Step 6: Final answer
    x = 128,404.34

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.