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Finding the Third Proportional to 46,587 and 100,550

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Solution

The third proportional to 46,587 and 100,550 is: 217,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,587 : 100,550 = 100,550 : x
  2. Step 2: Convert to fraction form
    46,587/100,550 = 100,550/x
  3. Step 3: Cross multiply
    46,587x = 100,550 × 100,550
  4. Step 4: Simplify right side
    46,587x = 10,110,302,500
  5. Step 5: Solve for x
    x = 10,110,302,500/46,587
  6. Step 6: Final answer
    x = 217,019.82

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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.