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Finding the Third Proportional to 35,610 and 75,987

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Solution

The third proportional to 35,610 and 75,987 is: 162,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,610 : 75,987 = 75,987 : x
  2. Step 2: Convert to fraction form
    35,610/75,987 = 75,987/x
  3. Step 3: Cross multiply
    35,610x = 75,987 × 75,987
  4. Step 4: Simplify right side
    35,610x = 5,774,024,169
  5. Step 5: Solve for x
    x = 5,774,024,169/35,610
  6. Step 6: Final answer
    x = 162,146.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.