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Finding the Third Proportional to 48,303 and 63,669

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Solution

The third proportional to 48,303 and 63,669 is: 83,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,303 : 63,669 = 63,669 : x
  2. Step 2: Convert to fraction form
    48,303/63,669 = 63,669/x
  3. Step 3: Cross multiply
    48,303x = 63,669 × 63,669
  4. Step 4: Simplify right side
    48,303x = 4,053,741,561
  5. Step 5: Solve for x
    x = 4,053,741,561/48,303
  6. Step 6: Final answer
    x = 83,923.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.