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Finding the Third Proportional to 28,659.19 and 32,213.06

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Solution

The third proportional to 28,659.19 and 32,213.06 is: 36,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,659.19 : 32,213.06 = 32,213.06 : x
  2. Step 2: Convert to fraction form
    28,659.19/32,213.06 = 32,213.06/x
  3. Step 3: Cross multiply
    28,659.19x = 32,213.06 × 32,213.06
  4. Step 4: Simplify right side
    28,659.19x = 1,037,681,395.63
  5. Step 5: Solve for x
    x = 1,037,681,395.63/28,659.19
  6. Step 6: Final answer
    x = 36,207.63

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.