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Finding the Third Proportional to 1,948 and 3,046

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Solution

The third proportional to 1,948 and 3,046 is: 4,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948 : 3,046 = 3,046 : x
  2. Step 2: Convert to fraction form
    1,948/3,046 = 3,046/x
  3. Step 3: Cross multiply
    1,948x = 3,046 × 3,046
  4. Step 4: Simplify right side
    1,948x = 9,278,116
  5. Step 5: Solve for x
    x = 9,278,116/1,948
  6. Step 6: Final answer
    x = 4,762.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.