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Finding the Third Proportional to 35,402 and 53,031

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Solution

The third proportional to 35,402 and 53,031 is: 79,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402 : 53,031 = 53,031 : x
  2. Step 2: Convert to fraction form
    35,402/53,031 = 53,031/x
  3. Step 3: Cross multiply
    35,402x = 53,031 × 53,031
  4. Step 4: Simplify right side
    35,402x = 2,812,286,961
  5. Step 5: Solve for x
    x = 2,812,286,961/35,402
  6. Step 6: Final answer
    x = 79,438.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.