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Finding the Third Proportional to 4,582 and 8,124

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Solution

The third proportional to 4,582 and 8,124 is: 14,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582 : 8,124 = 8,124 : x
  2. Step 2: Convert to fraction form
    4,582/8,124 = 8,124/x
  3. Step 3: Cross multiply
    4,582x = 8,124 × 8,124
  4. Step 4: Simplify right side
    4,582x = 65,999,376
  5. Step 5: Solve for x
    x = 65,999,376/4,582
  6. Step 6: Final answer
    x = 14,404.05

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.