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Finding the Third Proportional to 46,023 and 99,570

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Solution

The third proportional to 46,023 and 99,570 is: 215,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,023 : 99,570 = 99,570 : x
  2. Step 2: Convert to fraction form
    46,023/99,570 = 99,570/x
  3. Step 3: Cross multiply
    46,023x = 99,570 × 99,570
  4. Step 4: Simplify right side
    46,023x = 9,914,184,900
  5. Step 5: Solve for x
    x = 9,914,184,900/46,023
  6. Step 6: Final answer
    x = 215,418.05

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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.