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Finding the Third Proportional to 2,858.63 and 4,210.88

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Solution

The third proportional to 2,858.63 and 4,210.88 is: 6,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.63 : 4,210.88 = 4,210.88 : x
  2. Step 2: Convert to fraction form
    2,858.63/4,210.88 = 4,210.88/x
  3. Step 3: Cross multiply
    2,858.63x = 4,210.88 × 4,210.88
  4. Step 4: Simplify right side
    2,858.63x = 17,731,468.27
  5. Step 5: Solve for x
    x = 17,731,468.27/2,858.63
  6. Step 6: Final answer
    x = 6,202.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.