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Finding the Third Proportional to 34,506.75 and 46,368.75

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Solution

The third proportional to 34,506.75 and 46,368.75 is: 62,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.75 : 46,368.75 = 46,368.75 : x
  2. Step 2: Convert to fraction form
    34,506.75/46,368.75 = 46,368.75/x
  3. Step 3: Cross multiply
    34,506.75x = 46,368.75 × 46,368.75
  4. Step 4: Simplify right side
    34,506.75x = 2,150,060,976.56
  5. Step 5: Solve for x
    x = 2,150,060,976.56/34,506.75
  6. Step 6: Final answer
    x = 62,308.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.