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Finding the Third Proportional to 4,298.06 and 6,485.06

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Solution

The third proportional to 4,298.06 and 6,485.06 is: 9,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.06 : 6,485.06 = 6,485.06 : x
  2. Step 2: Convert to fraction form
    4,298.06/6,485.06 = 6,485.06/x
  3. Step 3: Cross multiply
    4,298.06x = 6,485.06 × 6,485.06
  4. Step 4: Simplify right side
    4,298.06x = 42,056,035.63
  5. Step 5: Solve for x
    x = 42,056,035.63/4,298.06
  6. Step 6: Final answer
    x = 9,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.