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Finding the Third Proportional to 46,018.13 and 65,260.69

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Solution

The third proportional to 46,018.13 and 65,260.69 is: 92,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018.13 : 65,260.69 = 65,260.69 : x
  2. Step 2: Convert to fraction form
    46,018.13/65,260.69 = 65,260.69/x
  3. Step 3: Cross multiply
    46,018.13x = 65,260.69 × 65,260.69
  4. Step 4: Simplify right side
    46,018.13x = 4,258,957,332.97
  5. Step 5: Solve for x
    x = 4,258,957,332.97/46,018.13
  6. Step 6: Final answer
    x = 92,549.56

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.