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Finding the Third Proportional to 32,758.80 and 70,873.10

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Solution

The third proportional to 32,758.80 and 70,873.10 is: 153,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.80 : 70,873.10 = 70,873.10 : x
  2. Step 2: Convert to fraction form
    32,758.80/70,873.10 = 70,873.10/x
  3. Step 3: Cross multiply
    32,758.80x = 70,873.10 × 70,873.10
  4. Step 4: Simplify right side
    32,758.80x = 5,022,996,525.09
  5. Step 5: Solve for x
    x = 5,022,996,525.09/32,758.80
  6. Step 6: Final answer
    x = 153,332.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.