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Finding the Third Proportional to 10,985.63 and 23,697.56

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Solution

The third proportional to 10,985.63 and 23,697.56 is: 51,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.63 : 23,697.56 = 23,697.56 : x
  2. Step 2: Convert to fraction form
    10,985.63/23,697.56 = 23,697.56/x
  3. Step 3: Cross multiply
    10,985.63x = 23,697.56 × 23,697.56
  4. Step 4: Simplify right side
    10,985.63x = 561,574,468.44
  5. Step 5: Solve for x
    x = 561,574,468.44/10,985.63
  6. Step 6: Final answer
    x = 51,119.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.