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Finding the Third Proportional to 9,639 and 15,440.63

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Solution

The third proportional to 9,639 and 15,440.63 is: 24,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 15,440.63 = 15,440.63 : x
  2. Step 2: Convert to fraction form
    9,639/15,440.63 = 15,440.63/x
  3. Step 3: Cross multiply
    9,639x = 15,440.63 × 15,440.63
  4. Step 4: Simplify right side
    9,639x = 238,412,900.39
  5. Step 5: Solve for x
    x = 238,412,900.39/9,639
  6. Step 6: Final answer
    x = 24,734.19

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.