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Finding the Third Proportional to 23,054.63 and 35,412.19

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Solution

The third proportional to 23,054.63 and 35,412.19 is: 54,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.63 : 35,412.19 = 35,412.19 : x
  2. Step 2: Convert to fraction form
    23,054.63/35,412.19 = 35,412.19/x
  3. Step 3: Cross multiply
    23,054.63x = 35,412.19 × 35,412.19
  4. Step 4: Simplify right side
    23,054.63x = 1,254,023,023.54
  5. Step 5: Solve for x
    x = 1,254,023,023.54/23,054.63
  6. Step 6: Final answer
    x = 54,393.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.