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Finding the Third Proportional to 48,157 and 63,913

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Solution

The third proportional to 48,157 and 63,913 is: 84,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,157 : 63,913 = 63,913 : x
  2. Step 2: Convert to fraction form
    48,157/63,913 = 63,913/x
  3. Step 3: Cross multiply
    48,157x = 63,913 × 63,913
  4. Step 4: Simplify right side
    48,157x = 4,084,871,569
  5. Step 5: Solve for x
    x = 4,084,871,569/48,157
  6. Step 6: Final answer
    x = 84,824.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.