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Finding the Third Proportional to 24,215 and 52,804

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Solution

The third proportional to 24,215 and 52,804 is: 115,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215 : 52,804 = 52,804 : x
  2. Step 2: Convert to fraction form
    24,215/52,804 = 52,804/x
  3. Step 3: Cross multiply
    24,215x = 52,804 × 52,804
  4. Step 4: Simplify right side
    24,215x = 2,788,262,416
  5. Step 5: Solve for x
    x = 2,788,262,416/24,215
  6. Step 6: Final answer
    x = 115,146.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.