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Finding the Third Proportional to 12,065 and 26,362

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Solution

The third proportional to 12,065 and 26,362 is: 57,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065 : 26,362 = 26,362 : x
  2. Step 2: Convert to fraction form
    12,065/26,362 = 26,362/x
  3. Step 3: Cross multiply
    12,065x = 26,362 × 26,362
  4. Step 4: Simplify right side
    12,065x = 694,955,044
  5. Step 5: Solve for x
    x = 694,955,044/12,065
  6. Step 6: Final answer
    x = 57,600.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.