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Finding the Third Proportional to 19,707.75 and 45,577.13

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Solution

The third proportional to 19,707.75 and 45,577.13 is: 105,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.75 : 45,577.13 = 45,577.13 : x
  2. Step 2: Convert to fraction form
    19,707.75/45,577.13 = 45,577.13/x
  3. Step 3: Cross multiply
    19,707.75x = 45,577.13 × 45,577.13
  4. Step 4: Simplify right side
    19,707.75x = 2,077,274,323.27
  5. Step 5: Solve for x
    x = 2,077,274,323.27/19,707.75
  6. Step 6: Final answer
    x = 105,403.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.