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Finding the Third Proportional to 24,345.75 and 51,830.25

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Solution

The third proportional to 24,345.75 and 51,830.25 is: 110,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,345.75 : 51,830.25 = 51,830.25 : x
  2. Step 2: Convert to fraction form
    24,345.75/51,830.25 = 51,830.25/x
  3. Step 3: Cross multiply
    24,345.75x = 51,830.25 × 51,830.25
  4. Step 4: Simplify right side
    24,345.75x = 2,686,374,815.06
  5. Step 5: Solve for x
    x = 2,686,374,815.06/24,345.75
  6. Step 6: Final answer
    x = 110,342.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.