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Finding the Third Proportional to 14,088 and 32,556

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Solution

The third proportional to 14,088 and 32,556 is: 75,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,088 : 32,556 = 32,556 : x
  2. Step 2: Convert to fraction form
    14,088/32,556 = 32,556/x
  3. Step 3: Cross multiply
    14,088x = 32,556 × 32,556
  4. Step 4: Simplify right side
    14,088x = 1,059,893,136
  5. Step 5: Solve for x
    x = 1,059,893,136/14,088
  6. Step 6: Final answer
    x = 75,233.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.