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Finding the Third Proportional to 10,648.81 and 16,705.78

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Solution

The third proportional to 10,648.81 and 16,705.78 is: 26,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.81 : 16,705.78 = 16,705.78 : x
  2. Step 2: Convert to fraction form
    10,648.81/16,705.78 = 16,705.78/x
  3. Step 3: Cross multiply
    10,648.81x = 16,705.78 × 16,705.78
  4. Step 4: Simplify right side
    10,648.81x = 279,082,931.40
  5. Step 5: Solve for x
    x = 279,082,931.40/10,648.81
  6. Step 6: Final answer
    x = 26,207.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.