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Finding the Third Proportional to 32,827.25 and 72,037

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Solution

The third proportional to 32,827.25 and 72,037 is: 158,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.25 : 72,037 = 72,037 : x
  2. Step 2: Convert to fraction form
    32,827.25/72,037 = 72,037/x
  3. Step 3: Cross multiply
    32,827.25x = 72,037 × 72,037
  4. Step 4: Simplify right side
    32,827.25x = 5,189,329,369
  5. Step 5: Solve for x
    x = 5,189,329,369/32,827.25
  6. Step 6: Final answer
    x = 158,079.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.