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Finding the Third Proportional to 15,490.13 and 23,194.13

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Solution

The third proportional to 15,490.13 and 23,194.13 is: 34,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.13 : 23,194.13 = 23,194.13 : x
  2. Step 2: Convert to fraction form
    15,490.13/23,194.13 = 23,194.13/x
  3. Step 3: Cross multiply
    15,490.13x = 23,194.13 × 23,194.13
  4. Step 4: Simplify right side
    15,490.13x = 537,967,434.52
  5. Step 5: Solve for x
    x = 537,967,434.52/15,490.13
  6. Step 6: Final answer
    x = 34,729.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.