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Finding the Third Proportional to 15,764.18 and 31,090.47

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Solution

The third proportional to 15,764.18 and 31,090.47 is: 61,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.18 : 31,090.47 = 31,090.47 : x
  2. Step 2: Convert to fraction form
    15,764.18/31,090.47 = 31,090.47/x
  3. Step 3: Cross multiply
    15,764.18x = 31,090.47 × 31,090.47
  4. Step 4: Simplify right side
    15,764.18x = 966,617,089.59
  5. Step 5: Solve for x
    x = 966,617,089.59/15,764.18
  6. Step 6: Final answer
    x = 61,317.31

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.