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Finding the Third Proportional to 35,402 and 75,724

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Solution

The third proportional to 35,402 and 75,724 is: 161,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402 : 75,724 = 75,724 : x
  2. Step 2: Convert to fraction form
    35,402/75,724 = 75,724/x
  3. Step 3: Cross multiply
    35,402x = 75,724 × 75,724
  4. Step 4: Simplify right side
    35,402x = 5,734,124,176
  5. Step 5: Solve for x
    x = 5,734,124,176/35,402
  6. Step 6: Final answer
    x = 161,971.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.