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Finding the Third Proportional to 42,630 and 63,946

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Solution

The third proportional to 42,630 and 63,946 is: 95,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,630 : 63,946 = 63,946 : x
  2. Step 2: Convert to fraction form
    42,630/63,946 = 63,946/x
  3. Step 3: Cross multiply
    42,630x = 63,946 × 63,946
  4. Step 4: Simplify right side
    42,630x = 4,089,090,916
  5. Step 5: Solve for x
    x = 4,089,090,916/42,630
  6. Step 6: Final answer
    x = 95,920.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.