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Finding the Third Proportional to 35,497 and 53,893.50

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Solution

The third proportional to 35,497 and 53,893.50 is: 81,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497 : 53,893.50 = 53,893.50 : x
  2. Step 2: Convert to fraction form
    35,497/53,893.50 = 53,893.50/x
  3. Step 3: Cross multiply
    35,497x = 53,893.50 × 53,893.50
  4. Step 4: Simplify right side
    35,497x = 2,904,509,342.25
  5. Step 5: Solve for x
    x = 2,904,509,342.25/35,497
  6. Step 6: Final answer
    x = 81,824.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.