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Finding the Third Proportional to 14,358.50 and 22,064

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Solution

The third proportional to 14,358.50 and 22,064 is: 33,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.50 : 22,064 = 22,064 : x
  2. Step 2: Convert to fraction form
    14,358.50/22,064 = 22,064/x
  3. Step 3: Cross multiply
    14,358.50x = 22,064 × 22,064
  4. Step 4: Simplify right side
    14,358.50x = 486,820,096
  5. Step 5: Solve for x
    x = 486,820,096/14,358.50
  6. Step 6: Final answer
    x = 33,904.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.