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Finding the Third Proportional to 15,511.50 and 23,702.63

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Solution

The third proportional to 15,511.50 and 23,702.63 is: 36,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.50 : 23,702.63 = 23,702.63 : x
  2. Step 2: Convert to fraction form
    15,511.50/23,702.63 = 23,702.63/x
  3. Step 3: Cross multiply
    15,511.50x = 23,702.63 × 23,702.63
  4. Step 4: Simplify right side
    15,511.50x = 561,814,431.89
  5. Step 5: Solve for x
    x = 561,814,431.89/15,511.50
  6. Step 6: Final answer
    x = 36,219.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.