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Finding the Third Proportional to 39,024 and 94,320

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Solution

The third proportional to 39,024 and 94,320 is: 227,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 94,320 = 94,320 : x
  2. Step 2: Convert to fraction form
    39,024/94,320 = 94,320/x
  3. Step 3: Cross multiply
    39,024x = 94,320 × 94,320
  4. Step 4: Simplify right side
    39,024x = 8,896,262,400
  5. Step 5: Solve for x
    x = 8,896,262,400/39,024
  6. Step 6: Final answer
    x = 227,969.00

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.