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Finding the Third Proportional to 12,130.51 and 26,509.96

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Solution

The third proportional to 12,130.51 and 26,509.96 is: 57,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.51 : 26,509.96 = 26,509.96 : x
  2. Step 2: Convert to fraction form
    12,130.51/26,509.96 = 26,509.96/x
  3. Step 3: Cross multiply
    12,130.51x = 26,509.96 × 26,509.96
  4. Step 4: Simplify right side
    12,130.51x = 702,777,938.30
  5. Step 5: Solve for x
    x = 702,777,938.30/12,130.51
  6. Step 6: Final answer
    x = 57,934.73

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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.