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Finding the Third Proportional to 23,543.16 and 32,929.03

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Solution

The third proportional to 23,543.16 and 32,929.03 is: 46,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.16 : 32,929.03 = 32,929.03 : x
  2. Step 2: Convert to fraction form
    23,543.16/32,929.03 = 32,929.03/x
  3. Step 3: Cross multiply
    23,543.16x = 32,929.03 × 32,929.03
  4. Step 4: Simplify right side
    23,543.16x = 1,084,321,099.06
  5. Step 5: Solve for x
    x = 1,084,321,099.06/23,543.16
  6. Step 6: Final answer
    x = 46,056.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.