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Finding the Third Proportional to 43,812 and 66,802.50

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Solution

The third proportional to 43,812 and 66,802.50 is: 101,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,812 : 66,802.50 = 66,802.50 : x
  2. Step 2: Convert to fraction form
    43,812/66,802.50 = 66,802.50/x
  3. Step 3: Cross multiply
    43,812x = 66,802.50 × 66,802.50
  4. Step 4: Simplify right side
    43,812x = 4,462,574,006.25
  5. Step 5: Solve for x
    x = 4,462,574,006.25/43,812
  6. Step 6: Final answer
    x = 101,857.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.