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Finding the Third Proportional to 26,184 and 37,413

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Solution

The third proportional to 26,184 and 37,413 is: 53,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,184 : 37,413 = 37,413 : x
  2. Step 2: Convert to fraction form
    26,184/37,413 = 37,413/x
  3. Step 3: Cross multiply
    26,184x = 37,413 × 37,413
  4. Step 4: Simplify right side
    26,184x = 1,399,732,569
  5. Step 5: Solve for x
    x = 1,399,732,569/26,184
  6. Step 6: Final answer
    x = 53,457.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.