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Finding the Third Proportional to 46,625.63 and 68,176.69

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Solution

The third proportional to 46,625.63 and 68,176.69 is: 99,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,625.63 : 68,176.69 = 68,176.69 : x
  2. Step 2: Convert to fraction form
    46,625.63/68,176.69 = 68,176.69/x
  3. Step 3: Cross multiply
    46,625.63x = 68,176.69 × 68,176.69
  4. Step 4: Simplify right side
    46,625.63x = 4,648,060,718.47
  5. Step 5: Solve for x
    x = 4,648,060,718.47/46,625.63
  6. Step 6: Final answer
    x = 99,688.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.