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Finding the Third Proportional to 10,809.38 and 16,700.63

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Solution

The third proportional to 10,809.38 and 16,700.63 is: 25,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.38 : 16,700.63 = 16,700.63 : x
  2. Step 2: Convert to fraction form
    10,809.38/16,700.63 = 16,700.63/x
  3. Step 3: Cross multiply
    10,809.38x = 16,700.63 × 16,700.63
  4. Step 4: Simplify right side
    10,809.38x = 278,910,875.39
  5. Step 5: Solve for x
    x = 278,910,875.39/10,809.38
  6. Step 6: Final answer
    x = 25,802.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.