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Finding the Third Proportional to 24,206 and 52,235.50

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Solution

The third proportional to 24,206 and 52,235.50 is: 112,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206 : 52,235.50 = 52,235.50 : x
  2. Step 2: Convert to fraction form
    24,206/52,235.50 = 52,235.50/x
  3. Step 3: Cross multiply
    24,206x = 52,235.50 × 52,235.50
  4. Step 4: Simplify right side
    24,206x = 2,728,547,460.25
  5. Step 5: Solve for x
    x = 2,728,547,460.25/24,206
  6. Step 6: Final answer
    x = 112,721.95

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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.