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Finding the Third Proportional to 7,900 and 12,362

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Solution

The third proportional to 7,900 and 12,362 is: 19,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900 : 12,362 = 12,362 : x
  2. Step 2: Convert to fraction form
    7,900/12,362 = 12,362/x
  3. Step 3: Cross multiply
    7,900x = 12,362 × 12,362
  4. Step 4: Simplify right side
    7,900x = 152,819,044
  5. Step 5: Solve for x
    x = 152,819,044/7,900
  6. Step 6: Final answer
    x = 19,344.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.