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Finding the Third Proportional to 46,803 and 63,512

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Solution

The third proportional to 46,803 and 63,512 is: 86,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803 : 63,512 = 63,512 : x
  2. Step 2: Convert to fraction form
    46,803/63,512 = 63,512/x
  3. Step 3: Cross multiply
    46,803x = 63,512 × 63,512
  4. Step 4: Simplify right side
    46,803x = 4,033,774,144
  5. Step 5: Solve for x
    x = 4,033,774,144/46,803
  6. Step 6: Final answer
    x = 86,186.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.