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Finding the Third Proportional to 30,021.19 and 64,681.31

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Solution

The third proportional to 30,021.19 and 64,681.31 is: 139,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021.19 : 64,681.31 = 64,681.31 : x
  2. Step 2: Convert to fraction form
    30,021.19/64,681.31 = 64,681.31/x
  3. Step 3: Cross multiply
    30,021.19x = 64,681.31 × 64,681.31
  4. Step 4: Simplify right side
    30,021.19x = 4,183,672,186.72
  5. Step 5: Solve for x
    x = 4,183,672,186.72/30,021.19
  6. Step 6: Final answer
    x = 139,357.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.