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Finding the Third Proportional to 10,395.19 and 16,002.94

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Solution

The third proportional to 10,395.19 and 16,002.94 is: 24,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.19 : 16,002.94 = 16,002.94 : x
  2. Step 2: Convert to fraction form
    10,395.19/16,002.94 = 16,002.94/x
  3. Step 3: Cross multiply
    10,395.19x = 16,002.94 × 16,002.94
  4. Step 4: Simplify right side
    10,395.19x = 256,094,008.63
  5. Step 5: Solve for x
    x = 256,094,008.63/10,395.19
  6. Step 6: Final answer
    x = 24,635.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.