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Finding the Third Proportional to 10,698.19 and 24,654.38

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Solution

The third proportional to 10,698.19 and 24,654.38 is: 56,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.19 : 24,654.38 = 24,654.38 : x
  2. Step 2: Convert to fraction form
    10,698.19/24,654.38 = 24,654.38/x
  3. Step 3: Cross multiply
    10,698.19x = 24,654.38 × 24,654.38
  4. Step 4: Simplify right side
    10,698.19x = 607,838,206.64
  5. Step 5: Solve for x
    x = 607,838,206.64/10,698.19
  6. Step 6: Final answer
    x = 56,816.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.