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Finding the Third Proportional to 14,358.59 and 31,023.79

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Solution

The third proportional to 14,358.59 and 31,023.79 is: 67,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.59 : 31,023.79 = 31,023.79 : x
  2. Step 2: Convert to fraction form
    14,358.59/31,023.79 = 31,023.79/x
  3. Step 3: Cross multiply
    14,358.59x = 31,023.79 × 31,023.79
  4. Step 4: Simplify right side
    14,358.59x = 962,475,608.98
  5. Step 5: Solve for x
    x = 962,475,608.98/14,358.59
  6. Step 6: Final answer
    x = 67,031.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.