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Finding the Third Proportional to 2,848.61 and 4,458.48

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Solution

The third proportional to 2,848.61 and 4,458.48 is: 6,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.61 : 4,458.48 = 4,458.48 : x
  2. Step 2: Convert to fraction form
    2,848.61/4,458.48 = 4,458.48/x
  3. Step 3: Cross multiply
    2,848.61x = 4,458.48 × 4,458.48
  4. Step 4: Simplify right side
    2,848.61x = 19,878,048.09
  5. Step 5: Solve for x
    x = 19,878,048.09/2,848.61
  6. Step 6: Final answer
    x = 6,978.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.