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Finding the Third Proportional to 9,916 and 21,465

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Solution

The third proportional to 9,916 and 21,465 is: 46,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916 : 21,465 = 21,465 : x
  2. Step 2: Convert to fraction form
    9,916/21,465 = 21,465/x
  3. Step 3: Cross multiply
    9,916x = 21,465 × 21,465
  4. Step 4: Simplify right side
    9,916x = 460,746,225
  5. Step 5: Solve for x
    x = 460,746,225/9,916
  6. Step 6: Final answer
    x = 46,464.93

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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.