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Finding the Third Proportional to 14,973.19 and 23,488.31

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Solution

The third proportional to 14,973.19 and 23,488.31 is: 36,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.19 : 23,488.31 = 23,488.31 : x
  2. Step 2: Convert to fraction form
    14,973.19/23,488.31 = 23,488.31/x
  3. Step 3: Cross multiply
    14,973.19x = 23,488.31 × 23,488.31
  4. Step 4: Simplify right side
    14,973.19x = 551,700,824.10
  5. Step 5: Solve for x
    x = 551,700,824.10/14,973.19
  6. Step 6: Final answer
    x = 36,845.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.