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Finding the Third Proportional to 9,178 and 13,562

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Solution

The third proportional to 9,178 and 13,562 is: 20,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178 : 13,562 = 13,562 : x
  2. Step 2: Convert to fraction form
    9,178/13,562 = 13,562/x
  3. Step 3: Cross multiply
    9,178x = 13,562 × 13,562
  4. Step 4: Simplify right side
    9,178x = 183,927,844
  5. Step 5: Solve for x
    x = 183,927,844/9,178
  6. Step 6: Final answer
    x = 20,040.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.