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Finding the Third Proportional to 24,924.38 and 53,762.06

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Solution

The third proportional to 24,924.38 and 53,762.06 is: 115,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924.38 : 53,762.06 = 53,762.06 : x
  2. Step 2: Convert to fraction form
    24,924.38/53,762.06 = 53,762.06/x
  3. Step 3: Cross multiply
    24,924.38x = 53,762.06 × 53,762.06
  4. Step 4: Simplify right side
    24,924.38x = 2,890,359,364.25
  5. Step 5: Solve for x
    x = 2,890,359,364.25/24,924.38
  6. Step 6: Final answer
    x = 115,965.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.