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Finding the Third Proportional to 1,911 and 5,179.50

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Solution

The third proportional to 1,911 and 5,179.50 is: 14,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911 : 5,179.50 = 5,179.50 : x
  2. Step 2: Convert to fraction form
    1,911/5,179.50 = 5,179.50/x
  3. Step 3: Cross multiply
    1,911x = 5,179.50 × 5,179.50
  4. Step 4: Simplify right side
    1,911x = 26,827,220.25
  5. Step 5: Solve for x
    x = 26,827,220.25/1,911
  6. Step 6: Final answer
    x = 14,038.32

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.