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Finding the Third Proportional to 35,568 and 56,688

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Solution

The third proportional to 35,568 and 56,688 is: 90,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,568 : 56,688 = 56,688 : x
  2. Step 2: Convert to fraction form
    35,568/56,688 = 56,688/x
  3. Step 3: Cross multiply
    35,568x = 56,688 × 56,688
  4. Step 4: Simplify right side
    35,568x = 3,213,529,344
  5. Step 5: Solve for x
    x = 3,213,529,344/35,568
  6. Step 6: Final answer
    x = 90,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.