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Finding the Third Proportional to 14,964 and 28,320

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Solution

The third proportional to 14,964 and 28,320 is: 53,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964 : 28,320 = 28,320 : x
  2. Step 2: Convert to fraction form
    14,964/28,320 = 28,320/x
  3. Step 3: Cross multiply
    14,964x = 28,320 × 28,320
  4. Step 4: Simplify right side
    14,964x = 802,022,400
  5. Step 5: Solve for x
    x = 802,022,400/14,964
  6. Step 6: Final answer
    x = 53,596.79

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.