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Finding the Third Proportional to 13,710 and 32,055

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Solution

The third proportional to 13,710 and 32,055 is: 74,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710 : 32,055 = 32,055 : x
  2. Step 2: Convert to fraction form
    13,710/32,055 = 32,055/x
  3. Step 3: Cross multiply
    13,710x = 32,055 × 32,055
  4. Step 4: Simplify right side
    13,710x = 1,027,523,025
  5. Step 5: Solve for x
    x = 1,027,523,025/13,710
  6. Step 6: Final answer
    x = 74,946.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.