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Finding the Third Proportional to 46,376 and 62,128

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Solution

The third proportional to 46,376 and 62,128 is: 83,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,376 : 62,128 = 62,128 : x
  2. Step 2: Convert to fraction form
    46,376/62,128 = 62,128/x
  3. Step 3: Cross multiply
    46,376x = 62,128 × 62,128
  4. Step 4: Simplify right side
    46,376x = 3,859,888,384
  5. Step 5: Solve for x
    x = 3,859,888,384/46,376
  6. Step 6: Final answer
    x = 83,230.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.