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Finding the Third Proportional to 36,455.06 and 46,580.06

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Solution

The third proportional to 36,455.06 and 46,580.06 is: 59,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,455.06 : 46,580.06 = 46,580.06 : x
  2. Step 2: Convert to fraction form
    36,455.06/46,580.06 = 46,580.06/x
  3. Step 3: Cross multiply
    36,455.06x = 46,580.06 × 46,580.06
  4. Step 4: Simplify right side
    36,455.06x = 2,169,702,222.50
  5. Step 5: Solve for x
    x = 2,169,702,222.50/36,455.06
  6. Step 6: Final answer
    x = 59,517.17

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.