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Finding the Third Proportional to 42,256.69 and 49,546.69

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Solution

The third proportional to 42,256.69 and 49,546.69 is: 58,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,256.69 : 49,546.69 = 49,546.69 : x
  2. Step 2: Convert to fraction form
    42,256.69/49,546.69 = 49,546.69/x
  3. Step 3: Cross multiply
    42,256.69x = 49,546.69 × 49,546.69
  4. Step 4: Simplify right side
    42,256.69x = 2,454,874,242.22
  5. Step 5: Solve for x
    x = 2,454,874,242.22/42,256.69
  6. Step 6: Final answer
    x = 58,094.34

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.