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Finding the Third Proportional to 23,841.84 and 35,032.08

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Solution

The third proportional to 23,841.84 and 35,032.08 is: 51,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.84 : 35,032.08 = 35,032.08 : x
  2. Step 2: Convert to fraction form
    23,841.84/35,032.08 = 35,032.08/x
  3. Step 3: Cross multiply
    23,841.84x = 35,032.08 × 35,032.08
  4. Step 4: Simplify right side
    23,841.84x = 1,227,246,497.76
  5. Step 5: Solve for x
    x = 1,227,246,497.76/23,841.84
  6. Step 6: Final answer
    x = 51,474.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.