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Finding the Third Proportional to 32,941.13 and 72,284.63

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Solution

The third proportional to 32,941.13 and 72,284.63 is: 158,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.13 : 72,284.63 = 72,284.63 : x
  2. Step 2: Convert to fraction form
    32,941.13/72,284.63 = 72,284.63/x
  3. Step 3: Cross multiply
    32,941.13x = 72,284.63 × 72,284.63
  4. Step 4: Simplify right side
    32,941.13x = 5,225,067,011.39
  5. Step 5: Solve for x
    x = 5,225,067,011.39/32,941.13
  6. Step 6: Final answer
    x = 158,618.35

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