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Finding the Third Proportional to 29,754 and 64,968.75

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Solution

The third proportional to 29,754 and 64,968.75 is: 141,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 64,968.75 = 64,968.75 : x
  2. Step 2: Convert to fraction form
    29,754/64,968.75 = 64,968.75/x
  3. Step 3: Cross multiply
    29,754x = 64,968.75 × 64,968.75
  4. Step 4: Simplify right side
    29,754x = 4,220,938,476.56
  5. Step 5: Solve for x
    x = 4,220,938,476.56/29,754
  6. Step 6: Final answer
    x = 141,861.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.