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Finding the Third Proportional to 26,725.34 and 57,688

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Solution

The third proportional to 26,725.34 and 57,688 is: 124,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,725.34 : 57,688 = 57,688 : x
  2. Step 2: Convert to fraction form
    26,725.34/57,688 = 57,688/x
  3. Step 3: Cross multiply
    26,725.34x = 57,688 × 57,688
  4. Step 4: Simplify right side
    26,725.34x = 3,327,905,344
  5. Step 5: Solve for x
    x = 3,327,905,344/26,725.34
  6. Step 6: Final answer
    x = 124,522.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.