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Finding the Third Proportional to 27,024 and 40,428

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Solution

The third proportional to 27,024 and 40,428 is: 60,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 40,428 = 40,428 : x
  2. Step 2: Convert to fraction form
    27,024/40,428 = 40,428/x
  3. Step 3: Cross multiply
    27,024x = 40,428 × 40,428
  4. Step 4: Simplify right side
    27,024x = 1,634,423,184
  5. Step 5: Solve for x
    x = 1,634,423,184/27,024
  6. Step 6: Final answer
    x = 60,480.43

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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.