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Finding the Third Proportional to 10,192.08 and 16,214.55

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Solution

The third proportional to 10,192.08 and 16,214.55 is: 25,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.08 : 16,214.55 = 16,214.55 : x
  2. Step 2: Convert to fraction form
    10,192.08/16,214.55 = 16,214.55/x
  3. Step 3: Cross multiply
    10,192.08x = 16,214.55 × 16,214.55
  4. Step 4: Simplify right side
    10,192.08x = 262,911,783.71
  5. Step 5: Solve for x
    x = 262,911,783.71/10,192.08
  6. Step 6: Final answer
    x = 25,795.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.