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Finding the Third Proportional to 4,845.23 and 7,478.58

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Solution

The third proportional to 4,845.23 and 7,478.58 is: 11,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.23 : 7,478.58 = 7,478.58 : x
  2. Step 2: Convert to fraction form
    4,845.23/7,478.58 = 7,478.58/x
  3. Step 3: Cross multiply
    4,845.23x = 7,478.58 × 7,478.58
  4. Step 4: Simplify right side
    4,845.23x = 55,929,130.77
  5. Step 5: Solve for x
    x = 55,929,130.77/4,845.23
  6. Step 6: Final answer
    x = 11,543.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.