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Finding the Third Proportional to 9,788 and 14,705

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Solution

The third proportional to 9,788 and 14,705 is: 22,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788 : 14,705 = 14,705 : x
  2. Step 2: Convert to fraction form
    9,788/14,705 = 14,705/x
  3. Step 3: Cross multiply
    9,788x = 14,705 × 14,705
  4. Step 4: Simplify right side
    9,788x = 216,237,025
  5. Step 5: Solve for x
    x = 216,237,025/9,788
  6. Step 6: Final answer
    x = 22,092.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.