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Finding the Third Proportional to 10,973.92 and 23,314.71

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Solution

The third proportional to 10,973.92 and 23,314.71 is: 49,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.92 : 23,314.71 = 23,314.71 : x
  2. Step 2: Convert to fraction form
    10,973.92/23,314.71 = 23,314.71/x
  3. Step 3: Cross multiply
    10,973.92x = 23,314.71 × 23,314.71
  4. Step 4: Simplify right side
    10,973.92x = 543,575,746.10
  5. Step 5: Solve for x
    x = 543,575,746.10/10,973.92
  6. Step 6: Final answer
    x = 49,533.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.