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Finding the Third Proportional to 12,370.22 and 25,970.63

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Solution

The third proportional to 12,370.22 and 25,970.63 is: 54,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.22 : 25,970.63 = 25,970.63 : x
  2. Step 2: Convert to fraction form
    12,370.22/25,970.63 = 25,970.63/x
  3. Step 3: Cross multiply
    12,370.22x = 25,970.63 × 25,970.63
  4. Step 4: Simplify right side
    12,370.22x = 674,473,362.89
  5. Step 5: Solve for x
    x = 674,473,362.89/12,370.22
  6. Step 6: Final answer
    x = 54,523.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.