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Finding the Third Proportional to 46,213.88 and 66,038.63

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Solution

The third proportional to 46,213.88 and 66,038.63 is: 94,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,213.88 : 66,038.63 = 66,038.63 : x
  2. Step 2: Convert to fraction form
    46,213.88/66,038.63 = 66,038.63/x
  3. Step 3: Cross multiply
    46,213.88x = 66,038.63 × 66,038.63
  4. Step 4: Simplify right side
    46,213.88x = 4,361,099,991.89
  5. Step 5: Solve for x
    x = 4,361,099,991.89/46,213.88
  6. Step 6: Final answer
    x = 94,367.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.