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Finding the Third Proportional to 32,197.08 and 69,935.91

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Solution

The third proportional to 32,197.08 and 69,935.91 is: 151,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.08 : 69,935.91 = 69,935.91 : x
  2. Step 2: Convert to fraction form
    32,197.08/69,935.91 = 69,935.91/x
  3. Step 3: Cross multiply
    32,197.08x = 69,935.91 × 69,935.91
  4. Step 4: Simplify right side
    32,197.08x = 4,891,030,983.01
  5. Step 5: Solve for x
    x = 4,891,030,983.01/32,197.08
  6. Step 6: Final answer
    x = 151,909.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.