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Finding the Third Proportional to 19,579.88 and 31,526.46

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Solution

The third proportional to 19,579.88 and 31,526.46 is: 50,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,579.88 : 31,526.46 = 31,526.46 : x
  2. Step 2: Convert to fraction form
    19,579.88/31,526.46 = 31,526.46/x
  3. Step 3: Cross multiply
    19,579.88x = 31,526.46 × 31,526.46
  4. Step 4: Simplify right side
    19,579.88x = 993,917,739.24
  5. Step 5: Solve for x
    x = 993,917,739.24/19,579.88
  6. Step 6: Final answer
    x = 50,762.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.