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Finding the Third Proportional to 21,464 and 46,621.75

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Solution

The third proportional to 21,464 and 46,621.75 is: 101,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464 : 46,621.75 = 46,621.75 : x
  2. Step 2: Convert to fraction form
    21,464/46,621.75 = 46,621.75/x
  3. Step 3: Cross multiply
    21,464x = 46,621.75 × 46,621.75
  4. Step 4: Simplify right side
    21,464x = 2,173,587,573.06
  5. Step 5: Solve for x
    x = 2,173,587,573.06/21,464
  6. Step 6: Final answer
    x = 101,266.66

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1.5x scale

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.