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Finding the Third Proportional to 12,961.88 and 28,434.38

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Solution

The third proportional to 12,961.88 and 28,434.38 is: 62,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.88 : 28,434.38 = 28,434.38 : x
  2. Step 2: Convert to fraction form
    12,961.88/28,434.38 = 28,434.38/x
  3. Step 3: Cross multiply
    12,961.88x = 28,434.38 × 28,434.38
  4. Step 4: Simplify right side
    12,961.88x = 808,513,681.64
  5. Step 5: Solve for x
    x = 808,513,681.64/12,961.88
  6. Step 6: Final answer
    x = 62,376.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.