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Finding the Third Proportional to 8,629.50 and 23,302.50

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Solution

The third proportional to 8,629.50 and 23,302.50 is: 62,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.50 : 23,302.50 = 23,302.50 : x
  2. Step 2: Convert to fraction form
    8,629.50/23,302.50 = 23,302.50/x
  3. Step 3: Cross multiply
    8,629.50x = 23,302.50 × 23,302.50
  4. Step 4: Simplify right side
    8,629.50x = 543,006,506.25
  5. Step 5: Solve for x
    x = 543,006,506.25/8,629.50
  6. Step 6: Final answer
    x = 62,924.45

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.