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Finding the Third Proportional to 44,527.50 and 69,254.25

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Solution

The third proportional to 44,527.50 and 69,254.25 is: 107,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,527.50 : 69,254.25 = 69,254.25 : x
  2. Step 2: Convert to fraction form
    44,527.50/69,254.25 = 69,254.25/x
  3. Step 3: Cross multiply
    44,527.50x = 69,254.25 × 69,254.25
  4. Step 4: Simplify right side
    44,527.50x = 4,796,151,143.06
  5. Step 5: Solve for x
    x = 4,796,151,143.06/44,527.50
  6. Step 6: Final answer
    x = 107,712.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.