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Finding the Third Proportional to 14,588 and 32,000

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Solution

The third proportional to 14,588 and 32,000 is: 70,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588 : 32,000 = 32,000 : x
  2. Step 2: Convert to fraction form
    14,588/32,000 = 32,000/x
  3. Step 3: Cross multiply
    14,588x = 32,000 × 32,000
  4. Step 4: Simplify right side
    14,588x = 1,024,000,000
  5. Step 5: Solve for x
    x = 1,024,000,000/14,588
  6. Step 6: Final answer
    x = 70,194.68

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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.