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Finding the Third Proportional to 19,301.63 and 30,739.50

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Solution

The third proportional to 19,301.63 and 30,739.50 is: 48,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,301.63 : 30,739.50 = 30,739.50 : x
  2. Step 2: Convert to fraction form
    19,301.63/30,739.50 = 30,739.50/x
  3. Step 3: Cross multiply
    19,301.63x = 30,739.50 × 30,739.50
  4. Step 4: Simplify right side
    19,301.63x = 944,916,860.25
  5. Step 5: Solve for x
    x = 944,916,860.25/19,301.63
  6. Step 6: Final answer
    x = 48,955.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.