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Finding the Third Proportional to 24,417 and 27,427.50

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Solution

The third proportional to 24,417 and 27,427.50 is: 30,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417 : 27,427.50 = 27,427.50 : x
  2. Step 2: Convert to fraction form
    24,417/27,427.50 = 27,427.50/x
  3. Step 3: Cross multiply
    24,417x = 27,427.50 × 27,427.50
  4. Step 4: Simplify right side
    24,417x = 752,267,756.25
  5. Step 5: Solve for x
    x = 752,267,756.25/24,417
  6. Step 6: Final answer
    x = 30,809.18

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.