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Finding the Third Proportional to 35,241.47 and 53,978.63

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Solution

The third proportional to 35,241.47 and 53,978.63 is: 82,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,241.47 : 53,978.63 = 53,978.63 : x
  2. Step 2: Convert to fraction form
    35,241.47/53,978.63 = 53,978.63/x
  3. Step 3: Cross multiply
    35,241.47x = 53,978.63 × 53,978.63
  4. Step 4: Simplify right side
    35,241.47x = 2,913,691,956.89
  5. Step 5: Solve for x
    x = 2,913,691,956.89/35,241.47
  6. Step 6: Final answer
    x = 82,677.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.