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Finding the Third Proportional to 47,840.63 and 71,214.19

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Solution

The third proportional to 47,840.63 and 71,214.19 is: 106,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,840.63 : 71,214.19 = 71,214.19 : x
  2. Step 2: Convert to fraction form
    47,840.63/71,214.19 = 71,214.19/x
  3. Step 3: Cross multiply
    47,840.63x = 71,214.19 × 71,214.19
  4. Step 4: Simplify right side
    47,840.63x = 5,071,460,501.29
  5. Step 5: Solve for x
    x = 5,071,460,501.29/47,840.63
  6. Step 6: Final answer
    x = 106,007.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.