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Finding the Third Proportional to 35,911.41 and 72,848.81

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Solution

The third proportional to 35,911.41 and 72,848.81 is: 147,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,911.41 : 72,848.81 = 72,848.81 : x
  2. Step 2: Convert to fraction form
    35,911.41/72,848.81 = 72,848.81/x
  3. Step 3: Cross multiply
    35,911.41x = 72,848.81 × 72,848.81
  4. Step 4: Simplify right side
    35,911.41x = 5,306,949,482.66
  5. Step 5: Solve for x
    x = 5,306,949,482.66/35,911.41
  6. Step 6: Final answer
    x = 147,778.94

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.