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Finding the Third Proportional to 45,304 and 66,623

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Solution

The third proportional to 45,304 and 66,623 is: 97,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,304 : 66,623 = 66,623 : x
  2. Step 2: Convert to fraction form
    45,304/66,623 = 66,623/x
  3. Step 3: Cross multiply
    45,304x = 66,623 × 66,623
  4. Step 4: Simplify right side
    45,304x = 4,438,624,129
  5. Step 5: Solve for x
    x = 4,438,624,129/45,304
  6. Step 6: Final answer
    x = 97,974.22

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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.