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Finding the Third Proportional to 14,730 and 28,713

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Solution

The third proportional to 14,730 and 28,713 is: 55,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730 : 28,713 = 28,713 : x
  2. Step 2: Convert to fraction form
    14,730/28,713 = 28,713/x
  3. Step 3: Cross multiply
    14,730x = 28,713 × 28,713
  4. Step 4: Simplify right side
    14,730x = 824,436,369
  5. Step 5: Solve for x
    x = 824,436,369/14,730
  6. Step 6: Final answer
    x = 55,969.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.