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Finding the Third Proportional to 2,669.63 and 4,128.47

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Solution

The third proportional to 2,669.63 and 4,128.47 is: 6,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.63 : 4,128.47 = 4,128.47 : x
  2. Step 2: Convert to fraction form
    2,669.63/4,128.47 = 4,128.47/x
  3. Step 3: Cross multiply
    2,669.63x = 4,128.47 × 4,128.47
  4. Step 4: Simplify right side
    2,669.63x = 17,044,254.22
  5. Step 5: Solve for x
    x = 17,044,254.22/2,669.63
  6. Step 6: Final answer
    x = 6,384.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.