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Finding the Third Proportional to 36,378 and 76,428

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Solution

The third proportional to 36,378 and 76,428 is: 160,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378 : 76,428 = 76,428 : x
  2. Step 2: Convert to fraction form
    36,378/76,428 = 76,428/x
  3. Step 3: Cross multiply
    36,378x = 76,428 × 76,428
  4. Step 4: Simplify right side
    36,378x = 5,841,239,184
  5. Step 5: Solve for x
    x = 5,841,239,184/36,378
  6. Step 6: Final answer
    x = 160,570.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.