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Finding the Third Proportional to 12,038.63 and 24,915.09

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Solution

The third proportional to 12,038.63 and 24,915.09 is: 51,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.63 : 24,915.09 = 24,915.09 : x
  2. Step 2: Convert to fraction form
    12,038.63/24,915.09 = 24,915.09/x
  3. Step 3: Cross multiply
    12,038.63x = 24,915.09 × 24,915.09
  4. Step 4: Simplify right side
    12,038.63x = 620,761,896.57
  5. Step 5: Solve for x
    x = 620,761,896.57/12,038.63
  6. Step 6: Final answer
    x = 51,564.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.