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Finding the Third Proportional to 19,875.38 and 45,975.09

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Solution

The third proportional to 19,875.38 and 45,975.09 is: 106,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.38 : 45,975.09 = 45,975.09 : x
  2. Step 2: Convert to fraction form
    19,875.38/45,975.09 = 45,975.09/x
  3. Step 3: Cross multiply
    19,875.38x = 45,975.09 × 45,975.09
  4. Step 4: Simplify right side
    19,875.38x = 2,113,709,245.32
  5. Step 5: Solve for x
    x = 2,113,709,245.32/19,875.38
  6. Step 6: Final answer
    x = 106,348.14

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.