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Finding the Third Proportional to 46,378 and 62,998

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Solution

The third proportional to 46,378 and 62,998 is: 85,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,378 : 62,998 = 62,998 : x
  2. Step 2: Convert to fraction form
    46,378/62,998 = 62,998/x
  3. Step 3: Cross multiply
    46,378x = 62,998 × 62,998
  4. Step 4: Simplify right side
    46,378x = 3,968,748,004
  5. Step 5: Solve for x
    x = 3,968,748,004/46,378
  6. Step 6: Final answer
    x = 85,573.94

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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.