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Finding the Third Proportional to 45,984 and 71,228.25

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Solution

The third proportional to 45,984 and 71,228.25 is: 110,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984 : 71,228.25 = 71,228.25 : x
  2. Step 2: Convert to fraction form
    45,984/71,228.25 = 71,228.25/x
  3. Step 3: Cross multiply
    45,984x = 71,228.25 × 71,228.25
  4. Step 4: Simplify right side
    45,984x = 5,073,463,598.06
  5. Step 5: Solve for x
    x = 5,073,463,598.06/45,984
  6. Step 6: Final answer
    x = 110,331.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.