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Finding the Third Proportional to 45,298 and 66,614

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Solution

The third proportional to 45,298 and 66,614 is: 97,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,298 : 66,614 = 66,614 : x
  2. Step 2: Convert to fraction form
    45,298/66,614 = 66,614/x
  3. Step 3: Cross multiply
    45,298x = 66,614 × 66,614
  4. Step 4: Simplify right side
    45,298x = 4,437,424,996
  5. Step 5: Solve for x
    x = 4,437,424,996/45,298
  6. Step 6: Final answer
    x = 97,960.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.