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Finding the Third Proportional to 30,688 and 41,656

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Solution

The third proportional to 30,688 and 41,656 is: 56,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688 : 41,656 = 41,656 : x
  2. Step 2: Convert to fraction form
    30,688/41,656 = 41,656/x
  3. Step 3: Cross multiply
    30,688x = 41,656 × 41,656
  4. Step 4: Simplify right side
    30,688x = 1,735,222,336
  5. Step 5: Solve for x
    x = 1,735,222,336/30,688
  6. Step 6: Final answer
    x = 56,544.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.