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Finding the Third Proportional to 14,205.38 and 29,948.63

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Solution

The third proportional to 14,205.38 and 29,948.63 is: 63,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.38 : 29,948.63 = 29,948.63 : x
  2. Step 2: Convert to fraction form
    14,205.38/29,948.63 = 29,948.63/x
  3. Step 3: Cross multiply
    14,205.38x = 29,948.63 × 29,948.63
  4. Step 4: Simplify right side
    14,205.38x = 896,920,139.39
  5. Step 5: Solve for x
    x = 896,920,139.39/14,205.38
  6. Step 6: Final answer
    x = 63,139.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.