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Finding the Third Proportional to 14,582.81 and 31,989.94

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Solution

The third proportional to 14,582.81 and 31,989.94 is: 70,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.81 : 31,989.94 = 31,989.94 : x
  2. Step 2: Convert to fraction form
    14,582.81/31,989.94 = 31,989.94/x
  3. Step 3: Cross multiply
    14,582.81x = 31,989.94 × 31,989.94
  4. Step 4: Simplify right side
    14,582.81x = 1,023,356,101.25
  5. Step 5: Solve for x
    x = 1,023,356,101.25/14,582.81
  6. Step 6: Final answer
    x = 70,175.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.