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Finding the Third Proportional to 48,658 and 53,778

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Solution

The third proportional to 48,658 and 53,778 is: 59,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658 : 53,778 = 53,778 : x
  2. Step 2: Convert to fraction form
    48,658/53,778 = 53,778/x
  3. Step 3: Cross multiply
    48,658x = 53,778 × 53,778
  4. Step 4: Simplify right side
    48,658x = 2,892,073,284
  5. Step 5: Solve for x
    x = 2,892,073,284/48,658
  6. Step 6: Final answer
    x = 59,436.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.