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Finding the Third Proportional to 24,261.19 and 53,033.06

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Solution

The third proportional to 24,261.19 and 53,033.06 is: 115,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261.19 : 53,033.06 = 53,033.06 : x
  2. Step 2: Convert to fraction form
    24,261.19/53,033.06 = 53,033.06/x
  3. Step 3: Cross multiply
    24,261.19x = 53,033.06 × 53,033.06
  4. Step 4: Simplify right side
    24,261.19x = 2,812,505,718.13
  5. Step 5: Solve for x
    x = 2,812,505,718.13/24,261.19
  6. Step 6: Final answer
    x = 115,926.14

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Why These Related Problems?

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