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Finding the Third Proportional to 7,830.42 and 16,892.30

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Solution

The third proportional to 7,830.42 and 16,892.30 is: 36,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.42 : 16,892.30 = 16,892.30 : x
  2. Step 2: Convert to fraction form
    7,830.42/16,892.30 = 16,892.30/x
  3. Step 3: Cross multiply
    7,830.42x = 16,892.30 × 16,892.30
  4. Step 4: Simplify right side
    7,830.42x = 285,349,693.71
  5. Step 5: Solve for x
    x = 285,349,693.71/7,830.42
  6. Step 6: Final answer
    x = 36,441.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.