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Finding the Third Proportional to 8,522 and 18,258.25

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Solution

The third proportional to 8,522 and 18,258.25 is: 39,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522 : 18,258.25 = 18,258.25 : x
  2. Step 2: Convert to fraction form
    8,522/18,258.25 = 18,258.25/x
  3. Step 3: Cross multiply
    8,522x = 18,258.25 × 18,258.25
  4. Step 4: Simplify right side
    8,522x = 333,363,693.06
  5. Step 5: Solve for x
    x = 333,363,693.06/8,522
  6. Step 6: Final answer
    x = 39,118.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.