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Finding the Third Proportional to 23,454 and 35,064

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Solution

The third proportional to 23,454 and 35,064 is: 52,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454 : 35,064 = 35,064 : x
  2. Step 2: Convert to fraction form
    23,454/35,064 = 35,064/x
  3. Step 3: Cross multiply
    23,454x = 35,064 × 35,064
  4. Step 4: Simplify right side
    23,454x = 1,229,484,096
  5. Step 5: Solve for x
    x = 1,229,484,096/23,454
  6. Step 6: Final answer
    x = 52,421.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.