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Finding the Third Proportional to 26,101 and 56,413

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Solution

The third proportional to 26,101 and 56,413 is: 121,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101 : 56,413 = 56,413 : x
  2. Step 2: Convert to fraction form
    26,101/56,413 = 56,413/x
  3. Step 3: Cross multiply
    26,101x = 56,413 × 56,413
  4. Step 4: Simplify right side
    26,101x = 3,182,426,569
  5. Step 5: Solve for x
    x = 3,182,426,569/26,101
  6. Step 6: Final answer
    x = 121,927.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.