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Finding the Third Proportional to 46,365.75 and 56,416.50

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Solution

The third proportional to 46,365.75 and 56,416.50 is: 68,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,365.75 : 56,416.50 = 56,416.50 : x
  2. Step 2: Convert to fraction form
    46,365.75/56,416.50 = 56,416.50/x
  3. Step 3: Cross multiply
    46,365.75x = 56,416.50 × 56,416.50
  4. Step 4: Simplify right side
    46,365.75x = 3,182,821,472.25
  5. Step 5: Solve for x
    x = 3,182,821,472.25/46,365.75
  6. Step 6: Final answer
    x = 68,645.96

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.