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Finding the Third Proportional to 12,535 and 26,478

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Solution

The third proportional to 12,535 and 26,478 is: 55,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535 : 26,478 = 26,478 : x
  2. Step 2: Convert to fraction form
    12,535/26,478 = 26,478/x
  3. Step 3: Cross multiply
    12,535x = 26,478 × 26,478
  4. Step 4: Simplify right side
    12,535x = 701,084,484
  5. Step 5: Solve for x
    x = 701,084,484/12,535
  6. Step 6: Final answer
    x = 55,930.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.