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Finding the Third Proportional to 32,360.34 and 43,721.02

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Solution

The third proportional to 32,360.34 and 43,721.02 is: 59,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,360.34 : 43,721.02 = 43,721.02 : x
  2. Step 2: Convert to fraction form
    32,360.34/43,721.02 = 43,721.02/x
  3. Step 3: Cross multiply
    32,360.34x = 43,721.02 × 43,721.02
  4. Step 4: Simplify right side
    32,360.34x = 1,911,527,207.28
  5. Step 5: Solve for x
    x = 1,911,527,207.28/32,360.34
  6. Step 6: Final answer
    x = 59,070.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.