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Finding the Third Proportional to 26,112 and 37,428

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Solution

The third proportional to 26,112 and 37,428 is: 53,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,112 : 37,428 = 37,428 : x
  2. Step 2: Convert to fraction form
    26,112/37,428 = 37,428/x
  3. Step 3: Cross multiply
    26,112x = 37,428 × 37,428
  4. Step 4: Simplify right side
    26,112x = 1,400,855,184
  5. Step 5: Solve for x
    x = 1,400,855,184/26,112
  6. Step 6: Final answer
    x = 53,647.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.