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Finding the Third Proportional to 14,590 and 32,006

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Solution

The third proportional to 14,590 and 32,006 is: 70,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590 : 32,006 = 32,006 : x
  2. Step 2: Convert to fraction form
    14,590/32,006 = 32,006/x
  3. Step 3: Cross multiply
    14,590x = 32,006 × 32,006
  4. Step 4: Simplify right side
    14,590x = 1,024,384,036
  5. Step 5: Solve for x
    x = 1,024,384,036/14,590
  6. Step 6: Final answer
    x = 70,211.38

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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.