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Finding the Third Proportional to 45,396 and 75,024

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Solution

The third proportional to 45,396 and 75,024 is: 123,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,396 : 75,024 = 75,024 : x
  2. Step 2: Convert to fraction form
    45,396/75,024 = 75,024/x
  3. Step 3: Cross multiply
    45,396x = 75,024 × 75,024
  4. Step 4: Simplify right side
    45,396x = 5,628,600,576
  5. Step 5: Solve for x
    x = 5,628,600,576/45,396
  6. Step 6: Final answer
    x = 123,988.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.