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Finding the Third Proportional to 3,459.75 and 4,929.75

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Solution

The third proportional to 3,459.75 and 4,929.75 is: 7,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.75 : 4,929.75 = 4,929.75 : x
  2. Step 2: Convert to fraction form
    3,459.75/4,929.75 = 4,929.75/x
  3. Step 3: Cross multiply
    3,459.75x = 4,929.75 × 4,929.75
  4. Step 4: Simplify right side
    3,459.75x = 24,302,435.06
  5. Step 5: Solve for x
    x = 24,302,435.06/3,459.75
  6. Step 6: Final answer
    x = 7,024.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.