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Finding the Third Proportional to 14,600 and 32,024

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Solution

The third proportional to 14,600 and 32,024 is: 70,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600 : 32,024 = 32,024 : x
  2. Step 2: Convert to fraction form
    14,600/32,024 = 32,024/x
  3. Step 3: Cross multiply
    14,600x = 32,024 × 32,024
  4. Step 4: Simplify right side
    14,600x = 1,025,536,576
  5. Step 5: Solve for x
    x = 1,025,536,576/14,600
  6. Step 6: Final answer
    x = 70,242.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.