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Finding the Third Proportional to 14,880 and 32,865

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Solution

The third proportional to 14,880 and 32,865 is: 72,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880 : 32,865 = 32,865 : x
  2. Step 2: Convert to fraction form
    14,880/32,865 = 32,865/x
  3. Step 3: Cross multiply
    14,880x = 32,865 × 32,865
  4. Step 4: Simplify right side
    14,880x = 1,080,108,225
  5. Step 5: Solve for x
    x = 1,080,108,225/14,880
  6. Step 6: Final answer
    x = 72,587.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.