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Finding the Third Proportional to 14,390.16 and 30,534.47

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Solution

The third proportional to 14,390.16 and 30,534.47 is: 64,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.16 : 30,534.47 = 30,534.47 : x
  2. Step 2: Convert to fraction form
    14,390.16/30,534.47 = 30,534.47/x
  3. Step 3: Cross multiply
    14,390.16x = 30,534.47 × 30,534.47
  4. Step 4: Simplify right side
    14,390.16x = 932,353,781.84
  5. Step 5: Solve for x
    x = 932,353,781.84/14,390.16
  6. Step 6: Final answer
    x = 64,791.08

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Why These Related Problems?

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