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Finding the Third Proportional to 48,635 and 72,953

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Solution

The third proportional to 48,635 and 72,953 is: 109,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,635 : 72,953 = 72,953 : x
  2. Step 2: Convert to fraction form
    48,635/72,953 = 72,953/x
  3. Step 3: Cross multiply
    48,635x = 72,953 × 72,953
  4. Step 4: Simplify right side
    48,635x = 5,322,140,209
  5. Step 5: Solve for x
    x = 5,322,140,209/48,635
  6. Step 6: Final answer
    x = 109,430.25

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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.