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Finding the Third Proportional to 14,590.13 and 30,634.88

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Solution

The third proportional to 14,590.13 and 30,634.88 is: 64,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.13 : 30,634.88 = 30,634.88 : x
  2. Step 2: Convert to fraction form
    14,590.13/30,634.88 = 30,634.88/x
  3. Step 3: Cross multiply
    14,590.13x = 30,634.88 × 30,634.88
  4. Step 4: Simplify right side
    14,590.13x = 938,495,566.27
  5. Step 5: Solve for x
    x = 938,495,566.27/14,590.13
  6. Step 6: Final answer
    x = 64,324.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.