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Finding the Third Proportional to 46,264.29 and 69,738.47

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Solution

The third proportional to 46,264.29 and 69,738.47 is: 105,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,264.29 : 69,738.47 = 69,738.47 : x
  2. Step 2: Convert to fraction form
    46,264.29/69,738.47 = 69,738.47/x
  3. Step 3: Cross multiply
    46,264.29x = 69,738.47 × 69,738.47
  4. Step 4: Simplify right side
    46,264.29x = 4,863,454,023.59
  5. Step 5: Solve for x
    x = 4,863,454,023.59/46,264.29
  6. Step 6: Final answer
    x = 105,123.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.