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Finding the Third Proportional to 12,581 and 26,659

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Solution

The third proportional to 12,581 and 26,659 is: 56,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581 : 26,659 = 26,659 : x
  2. Step 2: Convert to fraction form
    12,581/26,659 = 26,659/x
  3. Step 3: Cross multiply
    12,581x = 26,659 × 26,659
  4. Step 4: Simplify right side
    12,581x = 710,702,281
  5. Step 5: Solve for x
    x = 710,702,281/12,581
  6. Step 6: Final answer
    x = 56,490.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.