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Finding the Third Proportional to 12,146 and 26,562

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Solution

The third proportional to 12,146 and 26,562 is: 58,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 26,562 = 26,562 : x
  2. Step 2: Convert to fraction form
    12,146/26,562 = 26,562/x
  3. Step 3: Cross multiply
    12,146x = 26,562 × 26,562
  4. Step 4: Simplify right side
    12,146x = 705,539,844
  5. Step 5: Solve for x
    x = 705,539,844/12,146
  6. Step 6: Final answer
    x = 58,088.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.