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Finding the Third Proportional to 22,929 and 49,602

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Solution

The third proportional to 22,929 and 49,602 is: 107,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929 : 49,602 = 49,602 : x
  2. Step 2: Convert to fraction form
    22,929/49,602 = 49,602/x
  3. Step 3: Cross multiply
    22,929x = 49,602 × 49,602
  4. Step 4: Simplify right side
    22,929x = 2,460,358,404
  5. Step 5: Solve for x
    x = 2,460,358,404/22,929
  6. Step 6: Final answer
    x = 107,303.35

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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.