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Finding the Third Proportional to 14,919.50 and 32,501

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Solution

The third proportional to 14,919.50 and 32,501 is: 70,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.50 : 32,501 = 32,501 : x
  2. Step 2: Convert to fraction form
    14,919.50/32,501 = 32,501/x
  3. Step 3: Cross multiply
    14,919.50x = 32,501 × 32,501
  4. Step 4: Simplify right side
    14,919.50x = 1,056,315,001
  5. Step 5: Solve for x
    x = 1,056,315,001/14,919.50
  6. Step 6: Final answer
    x = 70,800.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.