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Finding the Third Proportional to 1,838.64 and 4,018.99

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Solution

The third proportional to 1,838.64 and 4,018.99 is: 8,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.64 : 4,018.99 = 4,018.99 : x
  2. Step 2: Convert to fraction form
    1,838.64/4,018.99 = 4,018.99/x
  3. Step 3: Cross multiply
    1,838.64x = 4,018.99 × 4,018.99
  4. Step 4: Simplify right side
    1,838.64x = 16,152,298.20
  5. Step 5: Solve for x
    x = 16,152,298.20/1,838.64
  6. Step 6: Final answer
    x = 8,784.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.