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Finding the Third Proportional to 2,948.63 and 6,486.75

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Solution

The third proportional to 2,948.63 and 6,486.75 is: 14,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.63 : 6,486.75 = 6,486.75 : x
  2. Step 2: Convert to fraction form
    2,948.63/6,486.75 = 6,486.75/x
  3. Step 3: Cross multiply
    2,948.63x = 6,486.75 × 6,486.75
  4. Step 4: Simplify right side
    2,948.63x = 42,077,925.56
  5. Step 5: Solve for x
    x = 42,077,925.56/2,948.63
  6. Step 6: Final answer
    x = 14,270.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.