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Finding the Third Proportional to 32,543.02 and 71,328.09

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Solution

The third proportional to 32,543.02 and 71,328.09 is: 156,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543.02 : 71,328.09 = 71,328.09 : x
  2. Step 2: Convert to fraction form
    32,543.02/71,328.09 = 71,328.09/x
  3. Step 3: Cross multiply
    32,543.02x = 71,328.09 × 71,328.09
  4. Step 4: Simplify right side
    32,543.02x = 5,087,696,958.01
  5. Step 5: Solve for x
    x = 5,087,696,958.01/32,543.02
  6. Step 6: Final answer
    x = 156,337.60

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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.