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Finding the Third Proportional to 47,430.56 and 71,123.06

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Solution

The third proportional to 47,430.56 and 71,123.06 is: 106,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,430.56 : 71,123.06 = 71,123.06 : x
  2. Step 2: Convert to fraction form
    47,430.56/71,123.06 = 71,123.06/x
  3. Step 3: Cross multiply
    47,430.56x = 71,123.06 × 71,123.06
  4. Step 4: Simplify right side
    47,430.56x = 5,058,490,019.38
  5. Step 5: Solve for x
    x = 5,058,490,019.38/47,430.56
  6. Step 6: Final answer
    x = 106,650.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.