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Finding the Third Proportional to 7,707 and 12,409.50

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Solution

The third proportional to 7,707 and 12,409.50 is: 19,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707 : 12,409.50 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    7,707/12,409.50 = 12,409.50/x
  3. Step 3: Cross multiply
    7,707x = 12,409.50 × 12,409.50
  4. Step 4: Simplify right side
    7,707x = 153,995,690.25
  5. Step 5: Solve for x
    x = 153,995,690.25/7,707
  6. Step 6: Final answer
    x = 19,981.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.