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Finding the Third Proportional to 12,169.41 and 26,156.53

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Solution

The third proportional to 12,169.41 and 26,156.53 is: 56,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.41 : 26,156.53 = 26,156.53 : x
  2. Step 2: Convert to fraction form
    12,169.41/26,156.53 = 26,156.53/x
  3. Step 3: Cross multiply
    12,169.41x = 26,156.53 × 26,156.53
  4. Step 4: Simplify right side
    12,169.41x = 684,164,127.03
  5. Step 5: Solve for x
    x = 684,164,127.03/12,169.41
  6. Step 6: Final answer
    x = 56,220.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.