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Finding the Third Proportional to 27,024 and 62,784

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Solution

The third proportional to 27,024 and 62,784 is: 145,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 62,784 = 62,784 : x
  2. Step 2: Convert to fraction form
    27,024/62,784 = 62,784/x
  3. Step 3: Cross multiply
    27,024x = 62,784 × 62,784
  4. Step 4: Simplify right side
    27,024x = 3,941,830,656
  5. Step 5: Solve for x
    x = 3,941,830,656/27,024
  6. Step 6: Final answer
    x = 145,864.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.