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Finding the Third Proportional to 40,989 and 60,097.50

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Solution

The third proportional to 40,989 and 60,097.50 is: 88,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,989 : 60,097.50 = 60,097.50 : x
  2. Step 2: Convert to fraction form
    40,989/60,097.50 = 60,097.50/x
  3. Step 3: Cross multiply
    40,989x = 60,097.50 × 60,097.50
  4. Step 4: Simplify right side
    40,989x = 3,611,709,506.25
  5. Step 5: Solve for x
    x = 3,611,709,506.25/40,989
  6. Step 6: Final answer
    x = 88,114.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.