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Finding the Third Proportional to 32,053.22 and 69,642.28

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Solution

The third proportional to 32,053.22 and 69,642.28 is: 151,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.22 : 69,642.28 = 69,642.28 : x
  2. Step 2: Convert to fraction form
    32,053.22/69,642.28 = 69,642.28/x
  3. Step 3: Cross multiply
    32,053.22x = 69,642.28 × 69,642.28
  4. Step 4: Simplify right side
    32,053.22x = 4,850,047,337.70
  5. Step 5: Solve for x
    x = 4,850,047,337.70/32,053.22
  6. Step 6: Final answer
    x = 151,312.33

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