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Finding the Third Proportional to 12,566.63 and 26,167.13

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Solution

The third proportional to 12,566.63 and 26,167.13 is: 54,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.63 : 26,167.13 = 26,167.13 : x
  2. Step 2: Convert to fraction form
    12,566.63/26,167.13 = 26,167.13/x
  3. Step 3: Cross multiply
    12,566.63x = 26,167.13 × 26,167.13
  4. Step 4: Simplify right side
    12,566.63x = 684,718,430.77
  5. Step 5: Solve for x
    x = 684,718,430.77/12,566.63
  6. Step 6: Final answer
    x = 54,487.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.