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Finding the Third Proportional to 24,495 and 51,118.50

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Solution

The third proportional to 24,495 and 51,118.50 is: 106,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495 : 51,118.50 = 51,118.50 : x
  2. Step 2: Convert to fraction form
    24,495/51,118.50 = 51,118.50/x
  3. Step 3: Cross multiply
    24,495x = 51,118.50 × 51,118.50
  4. Step 4: Simplify right side
    24,495x = 2,613,101,042.25
  5. Step 5: Solve for x
    x = 2,613,101,042.25/24,495
  6. Step 6: Final answer
    x = 106,678.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.