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Finding the Third Proportional to 9,905 and 21,518

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Solution

The third proportional to 9,905 and 21,518 is: 46,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905 : 21,518 = 21,518 : x
  2. Step 2: Convert to fraction form
    9,905/21,518 = 21,518/x
  3. Step 3: Cross multiply
    9,905x = 21,518 × 21,518
  4. Step 4: Simplify right side
    9,905x = 463,024,324
  5. Step 5: Solve for x
    x = 463,024,324/9,905
  6. Step 6: Final answer
    x = 46,746.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.