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Finding the Third Proportional to 24,678.84 and 53,298.14

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Solution

The third proportional to 24,678.84 and 53,298.14 is: 115,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.84 : 53,298.14 = 53,298.14 : x
  2. Step 2: Convert to fraction form
    24,678.84/53,298.14 = 53,298.14/x
  3. Step 3: Cross multiply
    24,678.84x = 53,298.14 × 53,298.14
  4. Step 4: Simplify right side
    24,678.84x = 2,840,691,794.08
  5. Step 5: Solve for x
    x = 2,840,691,794.08/24,678.84
  6. Step 6: Final answer
    x = 115,106.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.