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Finding the Third Proportional to 35,597 and 77,890

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Solution

The third proportional to 35,597 and 77,890 is: 170,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,597 : 77,890 = 77,890 : x
  2. Step 2: Convert to fraction form
    35,597/77,890 = 77,890/x
  3. Step 3: Cross multiply
    35,597x = 77,890 × 77,890
  4. Step 4: Simplify right side
    35,597x = 6,066,852,100
  5. Step 5: Solve for x
    x = 6,066,852,100/35,597
  6. Step 6: Final answer
    x = 170,431.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.