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Finding the Third Proportional to 35,975.63 and 77,237.25

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Solution

The third proportional to 35,975.63 and 77,237.25 is: 165,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975.63 : 77,237.25 = 77,237.25 : x
  2. Step 2: Convert to fraction form
    35,975.63/77,237.25 = 77,237.25/x
  3. Step 3: Cross multiply
    35,975.63x = 77,237.25 × 77,237.25
  4. Step 4: Simplify right side
    35,975.63x = 5,965,592,787.56
  5. Step 5: Solve for x
    x = 5,965,592,787.56/35,975.63
  6. Step 6: Final answer
    x = 165,823.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.