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Finding the Third Proportional to 40,851.75 and 57,808.13

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Solution

The third proportional to 40,851.75 and 57,808.13 is: 81,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,851.75 : 57,808.13 = 57,808.13 : x
  2. Step 2: Convert to fraction form
    40,851.75/57,808.13 = 57,808.13/x
  3. Step 3: Cross multiply
    40,851.75x = 57,808.13 × 57,808.13
  4. Step 4: Simplify right side
    40,851.75x = 3,341,779,316.02
  5. Step 5: Solve for x
    x = 3,341,779,316.02/40,851.75
  6. Step 6: Final answer
    x = 81,802.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.