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Finding the Third Proportional to 11,753.23 and 25,146.70

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Solution

The third proportional to 11,753.23 and 25,146.70 is: 53,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.23 : 25,146.70 = 25,146.70 : x
  2. Step 2: Convert to fraction form
    11,753.23/25,146.70 = 25,146.70/x
  3. Step 3: Cross multiply
    11,753.23x = 25,146.70 × 25,146.70
  4. Step 4: Simplify right side
    11,753.23x = 632,356,678.06
  5. Step 5: Solve for x
    x = 632,356,678.06/11,753.23
  6. Step 6: Final answer
    x = 53,802.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.