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Finding the Third Proportional to 14,895 and 32,724

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Solution

The third proportional to 14,895 and 32,724 is: 71,893.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,895 : 32,724 = 32,724 : x
  2. Step 2: Convert to fraction form
    14,895/32,724 = 32,724/x
  3. Step 3: Cross multiply
    14,895x = 32,724 × 32,724
  4. Step 4: Simplify right side
    14,895x = 1,070,860,176
  5. Step 5: Solve for x
    x = 1,070,860,176/14,895
  6. Step 6: Final answer
    x = 71,893.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.