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Finding the Third Proportional to 19,527.75 and 30,263.63

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Solution

The third proportional to 19,527.75 and 30,263.63 is: 46,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.75 : 30,263.63 = 30,263.63 : x
  2. Step 2: Convert to fraction form
    19,527.75/30,263.63 = 30,263.63/x
  3. Step 3: Cross multiply
    19,527.75x = 30,263.63 × 30,263.63
  4. Step 4: Simplify right side
    19,527.75x = 915,886,998.14
  5. Step 5: Solve for x
    x = 915,886,998.14/19,527.75
  6. Step 6: Final answer
    x = 46,901.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.