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Finding the Third Proportional to 43,851 and 66,070.50

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Solution

The third proportional to 43,851 and 66,070.50 is: 99,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851 : 66,070.50 = 66,070.50 : x
  2. Step 2: Convert to fraction form
    43,851/66,070.50 = 66,070.50/x
  3. Step 3: Cross multiply
    43,851x = 66,070.50 × 66,070.50
  4. Step 4: Simplify right side
    43,851x = 4,365,310,970.25
  5. Step 5: Solve for x
    x = 4,365,310,970.25/43,851
  6. Step 6: Final answer
    x = 99,548.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.