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Finding the Third Proportional to 22,607.44 and 35,825.63

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Solution

The third proportional to 22,607.44 and 35,825.63 is: 56,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.44 : 35,825.63 = 35,825.63 : x
  2. Step 2: Convert to fraction form
    22,607.44/35,825.63 = 35,825.63/x
  3. Step 3: Cross multiply
    22,607.44x = 35,825.63 × 35,825.63
  4. Step 4: Simplify right side
    22,607.44x = 1,283,475,406.64
  5. Step 5: Solve for x
    x = 1,283,475,406.64/22,607.44
  6. Step 6: Final answer
    x = 56,772.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.