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Finding the Third Proportional to 45,307 and 66,625

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Solution

The third proportional to 45,307 and 66,625 is: 97,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,307 : 66,625 = 66,625 : x
  2. Step 2: Convert to fraction form
    45,307/66,625 = 66,625/x
  3. Step 3: Cross multiply
    45,307x = 66,625 × 66,625
  4. Step 4: Simplify right side
    45,307x = 4,438,890,625
  5. Step 5: Solve for x
    x = 4,438,890,625/45,307
  6. Step 6: Final answer
    x = 97,973.62

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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.