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Finding the Third Proportional to 22,428 and 49,167

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Solution

The third proportional to 22,428 and 49,167 is: 107,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428 : 49,167 = 49,167 : x
  2. Step 2: Convert to fraction form
    22,428/49,167 = 49,167/x
  3. Step 3: Cross multiply
    22,428x = 49,167 × 49,167
  4. Step 4: Simplify right side
    22,428x = 2,417,393,889
  5. Step 5: Solve for x
    x = 2,417,393,889/22,428
  6. Step 6: Final answer
    x = 107,784.64

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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.