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Finding the Third Proportional to 42,402 and 62,307

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Solution

The third proportional to 42,402 and 62,307 is: 91,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,402 : 62,307 = 62,307 : x
  2. Step 2: Convert to fraction form
    42,402/62,307 = 62,307/x
  3. Step 3: Cross multiply
    42,402x = 62,307 × 62,307
  4. Step 4: Simplify right side
    42,402x = 3,882,162,249
  5. Step 5: Solve for x
    x = 3,882,162,249/42,402
  6. Step 6: Final answer
    x = 91,556.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.