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Finding the Third Proportional to 22,596.75 and 46,985.63

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Solution

The third proportional to 22,596.75 and 46,985.63 is: 97,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.75 : 46,985.63 = 46,985.63 : x
  2. Step 2: Convert to fraction form
    22,596.75/46,985.63 = 46,985.63/x
  3. Step 3: Cross multiply
    22,596.75x = 46,985.63 × 46,985.63
  4. Step 4: Simplify right side
    22,596.75x = 2,207,648,956.64
  5. Step 5: Solve for x
    x = 2,207,648,956.64/22,596.75
  6. Step 6: Final answer
    x = 97,697.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.