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Finding the Third Proportional to 27,584 and 59,968

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Solution

The third proportional to 27,584 and 59,968 is: 130,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584 : 59,968 = 59,968 : x
  2. Step 2: Convert to fraction form
    27,584/59,968 = 59,968/x
  3. Step 3: Cross multiply
    27,584x = 59,968 × 59,968
  4. Step 4: Simplify right side
    27,584x = 3,596,161,024
  5. Step 5: Solve for x
    x = 3,596,161,024/27,584
  6. Step 6: Final answer
    x = 130,371.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.