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Finding the Third Proportional to 43,362 and 64,867.50

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Solution

The third proportional to 43,362 and 64,867.50 is: 97,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,362 : 64,867.50 = 64,867.50 : x
  2. Step 2: Convert to fraction form
    43,362/64,867.50 = 64,867.50/x
  3. Step 3: Cross multiply
    43,362x = 64,867.50 × 64,867.50
  4. Step 4: Simplify right side
    43,362x = 4,207,792,556.25
  5. Step 5: Solve for x
    x = 4,207,792,556.25/43,362
  6. Step 6: Final answer
    x = 97,038.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.