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Finding the Third Proportional to 19,409.63 and 42,509.81

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Solution

The third proportional to 19,409.63 and 42,509.81 is: 93,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.63 : 42,509.81 = 42,509.81 : x
  2. Step 2: Convert to fraction form
    19,409.63/42,509.81 = 42,509.81/x
  3. Step 3: Cross multiply
    19,409.63x = 42,509.81 × 42,509.81
  4. Step 4: Simplify right side
    19,409.63x = 1,807,084,158.79
  5. Step 5: Solve for x
    x = 1,807,084,158.79/19,409.63
  6. Step 6: Final answer
    x = 93,102.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.