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Finding the Third Proportional to 14,332.78 and 30,407.06

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Solution

The third proportional to 14,332.78 and 30,407.06 is: 64,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.78 : 30,407.06 = 30,407.06 : x
  2. Step 2: Convert to fraction form
    14,332.78/30,407.06 = 30,407.06/x
  3. Step 3: Cross multiply
    14,332.78x = 30,407.06 × 30,407.06
  4. Step 4: Simplify right side
    14,332.78x = 924,589,449.88
  5. Step 5: Solve for x
    x = 924,589,449.88/14,332.78
  6. Step 6: Final answer
    x = 64,508.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.