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Finding the Third Proportional to 32,853.94 and 35,587.69

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Solution

The third proportional to 32,853.94 and 35,587.69 is: 38,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.94 : 35,587.69 = 35,587.69 : x
  2. Step 2: Convert to fraction form
    32,853.94/35,587.69 = 35,587.69/x
  3. Step 3: Cross multiply
    32,853.94x = 35,587.69 × 35,587.69
  4. Step 4: Simplify right side
    32,853.94x = 1,266,483,501.60
  5. Step 5: Solve for x
    x = 1,266,483,501.60/32,853.94
  6. Step 6: Final answer
    x = 38,548.91

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.