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Finding the Third Proportional to 45,165 and 66,510

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Solution

The third proportional to 45,165 and 66,510 is: 97,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,165 : 66,510 = 66,510 : x
  2. Step 2: Convert to fraction form
    45,165/66,510 = 66,510/x
  3. Step 3: Cross multiply
    45,165x = 66,510 × 66,510
  4. Step 4: Simplify right side
    45,165x = 4,423,580,100
  5. Step 5: Solve for x
    x = 4,423,580,100/45,165
  6. Step 6: Final answer
    x = 97,942.66

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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.