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Finding the Third Proportional to 15,893.44 and 23,270.06

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Solution

The third proportional to 15,893.44 and 23,270.06 is: 34,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.44 : 23,270.06 = 23,270.06 : x
  2. Step 2: Convert to fraction form
    15,893.44/23,270.06 = 23,270.06/x
  3. Step 3: Cross multiply
    15,893.44x = 23,270.06 × 23,270.06
  4. Step 4: Simplify right side
    15,893.44x = 541,495,808.75
  5. Step 5: Solve for x
    x = 541,495,808.75/15,893.44
  6. Step 6: Final answer
    x = 34,070.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.