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Finding the Third Proportional to 24,467.06 and 53,513.16

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Solution

The third proportional to 24,467.06 and 53,513.16 is: 117,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.06 : 53,513.16 = 53,513.16 : x
  2. Step 2: Convert to fraction form
    24,467.06/53,513.16 = 53,513.16/x
  3. Step 3: Cross multiply
    24,467.06x = 53,513.16 × 53,513.16
  4. Step 4: Simplify right side
    24,467.06x = 2,863,657,891.84
  5. Step 5: Solve for x
    x = 2,863,657,891.84/24,467.06
  6. Step 6: Final answer
    x = 117,041.34

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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.