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Finding the Third Proportional to 19,870.31 and 29,463.75

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Solution

The third proportional to 19,870.31 and 29,463.75 is: 43,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.31 : 29,463.75 = 29,463.75 : x
  2. Step 2: Convert to fraction form
    19,870.31/29,463.75 = 29,463.75/x
  3. Step 3: Cross multiply
    19,870.31x = 29,463.75 × 29,463.75
  4. Step 4: Simplify right side
    19,870.31x = 868,112,564.06
  5. Step 5: Solve for x
    x = 868,112,564.06/19,870.31
  6. Step 6: Final answer
    x = 43,688.92

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.