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Finding the Third Proportional to 7,582 and 14,068

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Solution

The third proportional to 7,582 and 14,068 is: 26,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 14,068 = 14,068 : x
  2. Step 2: Convert to fraction form
    7,582/14,068 = 14,068/x
  3. Step 3: Cross multiply
    7,582x = 14,068 × 14,068
  4. Step 4: Simplify right side
    7,582x = 197,908,624
  5. Step 5: Solve for x
    x = 197,908,624/7,582
  6. Step 6: Final answer
    x = 26,102.43

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.