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Finding the Third Proportional to 28,724 and 60,064

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Solution

The third proportional to 28,724 and 60,064 is: 125,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,724 : 60,064 = 60,064 : x
  2. Step 2: Convert to fraction form
    28,724/60,064 = 60,064/x
  3. Step 3: Cross multiply
    28,724x = 60,064 × 60,064
  4. Step 4: Simplify right side
    28,724x = 3,607,684,096
  5. Step 5: Solve for x
    x = 3,607,684,096/28,724
  6. Step 6: Final answer
    x = 125,598.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.