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Finding the Third Proportional to 9,070.31 and 13,865.63

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Solution

The third proportional to 9,070.31 and 13,865.63 is: 21,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.31 : 13,865.63 = 13,865.63 : x
  2. Step 2: Convert to fraction form
    9,070.31/13,865.63 = 13,865.63/x
  3. Step 3: Cross multiply
    9,070.31x = 13,865.63 × 13,865.63
  4. Step 4: Simplify right side
    9,070.31x = 192,255,556.64
  5. Step 5: Solve for x
    x = 192,255,556.64/9,070.31
  6. Step 6: Final answer
    x = 21,196.13

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