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Finding the Third Proportional to 32,918 and 72,953.75

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Solution

The third proportional to 32,918 and 72,953.75 is: 161,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,918 : 72,953.75 = 72,953.75 : x
  2. Step 2: Convert to fraction form
    32,918/72,953.75 = 72,953.75/x
  3. Step 3: Cross multiply
    32,918x = 72,953.75 × 72,953.75
  4. Step 4: Simplify right side
    32,918x = 5,322,249,639.06
  5. Step 5: Solve for x
    x = 5,322,249,639.06/32,918
  6. Step 6: Final answer
    x = 161,682.05

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.