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Finding the Third Proportional to 10,216 and 24,724

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Solution

The third proportional to 10,216 and 24,724 is: 59,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216 : 24,724 = 24,724 : x
  2. Step 2: Convert to fraction form
    10,216/24,724 = 24,724/x
  3. Step 3: Cross multiply
    10,216x = 24,724 × 24,724
  4. Step 4: Simplify right side
    10,216x = 611,276,176
  5. Step 5: Solve for x
    x = 611,276,176/10,216
  6. Step 6: Final answer
    x = 59,835.18

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.