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Finding the Third Proportional to 23,346 and 35,042.91

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Solution

The third proportional to 23,346 and 35,042.91 is: 52,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,346 : 35,042.91 = 35,042.91 : x
  2. Step 2: Convert to fraction form
    23,346/35,042.91 = 35,042.91/x
  3. Step 3: Cross multiply
    23,346x = 35,042.91 × 35,042.91
  4. Step 4: Simplify right side
    23,346x = 1,228,005,278.45
  5. Step 5: Solve for x
    x = 1,228,005,278.45/23,346
  6. Step 6: Final answer
    x = 52,600.24

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