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Finding the Third Proportional to 24,804 and 33,681.75

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Solution

The third proportional to 24,804 and 33,681.75 is: 45,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804 : 33,681.75 = 33,681.75 : x
  2. Step 2: Convert to fraction form
    24,804/33,681.75 = 33,681.75/x
  3. Step 3: Cross multiply
    24,804x = 33,681.75 × 33,681.75
  4. Step 4: Simplify right side
    24,804x = 1,134,460,283.06
  5. Step 5: Solve for x
    x = 1,134,460,283.06/24,804
  6. Step 6: Final answer
    x = 45,736.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.