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Finding the Third Proportional to 25,897.22 and 56,736.70

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Solution

The third proportional to 25,897.22 and 56,736.70 is: 124,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.22 : 56,736.70 = 56,736.70 : x
  2. Step 2: Convert to fraction form
    25,897.22/56,736.70 = 56,736.70/x
  3. Step 3: Cross multiply
    25,897.22x = 56,736.70 × 56,736.70
  4. Step 4: Simplify right side
    25,897.22x = 3,219,053,481.49
  5. Step 5: Solve for x
    x = 3,219,053,481.49/25,897.22
  6. Step 6: Final answer
    x = 124,301.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.