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Finding the Third Proportional to 19,970.63 and 43,464.75

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Solution

The third proportional to 19,970.63 and 43,464.75 is: 94,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.63 : 43,464.75 = 43,464.75 : x
  2. Step 2: Convert to fraction form
    19,970.63/43,464.75 = 43,464.75/x
  3. Step 3: Cross multiply
    19,970.63x = 43,464.75 × 43,464.75
  4. Step 4: Simplify right side
    19,970.63x = 1,889,184,492.56
  5. Step 5: Solve for x
    x = 1,889,184,492.56/19,970.63
  6. Step 6: Final answer
    x = 94,598.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.