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Finding the Third Proportional to 30,668.63 and 46,893.94

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Solution

The third proportional to 30,668.63 and 46,893.94 is: 71,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.63 : 46,893.94 = 46,893.94 : x
  2. Step 2: Convert to fraction form
    30,668.63/46,893.94 = 46,893.94/x
  3. Step 3: Cross multiply
    30,668.63x = 46,893.94 × 46,893.94
  4. Step 4: Simplify right side
    30,668.63x = 2,199,041,374.25
  5. Step 5: Solve for x
    x = 2,199,041,374.25/30,668.63
  6. Step 6: Final answer
    x = 71,703.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.