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Finding the Third Proportional to 9,201 and 14,578.50

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Solution

The third proportional to 9,201 and 14,578.50 is: 23,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 14,578.50 = 14,578.50 : x
  2. Step 2: Convert to fraction form
    9,201/14,578.50 = 14,578.50/x
  3. Step 3: Cross multiply
    9,201x = 14,578.50 × 14,578.50
  4. Step 4: Simplify right side
    9,201x = 212,532,662.25
  5. Step 5: Solve for x
    x = 212,532,662.25/9,201
  6. Step 6: Final answer
    x = 23,098.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.