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Finding the Third Proportional to 12,484.75 and 26,746.25

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Solution

The third proportional to 12,484.75 and 26,746.25 is: 57,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.75 : 26,746.25 = 26,746.25 : x
  2. Step 2: Convert to fraction form
    12,484.75/26,746.25 = 26,746.25/x
  3. Step 3: Cross multiply
    12,484.75x = 26,746.25 × 26,746.25
  4. Step 4: Simplify right side
    12,484.75x = 715,361,889.06
  5. Step 5: Solve for x
    x = 715,361,889.06/12,484.75
  6. Step 6: Final answer
    x = 57,298.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.