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Finding the Third Proportional to 30,409.13 and 48,424.31

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Solution

The third proportional to 30,409.13 and 48,424.31 is: 77,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.13 : 48,424.31 = 48,424.31 : x
  2. Step 2: Convert to fraction form
    30,409.13/48,424.31 = 48,424.31/x
  3. Step 3: Cross multiply
    30,409.13x = 48,424.31 × 48,424.31
  4. Step 4: Simplify right side
    30,409.13x = 2,344,914,041.10
  5. Step 5: Solve for x
    x = 2,344,914,041.10/30,409.13
  6. Step 6: Final answer
    x = 77,112.18

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Why These Related Problems?

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