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Finding the Third Proportional to 21,284 and 45,464

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Solution

The third proportional to 21,284 and 45,464 is: 97,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284 : 45,464 = 45,464 : x
  2. Step 2: Convert to fraction form
    21,284/45,464 = 45,464/x
  3. Step 3: Cross multiply
    21,284x = 45,464 × 45,464
  4. Step 4: Simplify right side
    21,284x = 2,066,975,296
  5. Step 5: Solve for x
    x = 2,066,975,296/21,284
  6. Step 6: Final answer
    x = 97,114.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.