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Finding the Third Proportional to 26,948.44 and 56,689.72

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Solution

The third proportional to 26,948.44 and 56,689.72 is: 119,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,948.44 : 56,689.72 = 56,689.72 : x
  2. Step 2: Convert to fraction form
    26,948.44/56,689.72 = 56,689.72/x
  3. Step 3: Cross multiply
    26,948.44x = 56,689.72 × 56,689.72
  4. Step 4: Simplify right side
    26,948.44x = 3,213,723,990.51
  5. Step 5: Solve for x
    x = 3,213,723,990.51/26,948.44
  6. Step 6: Final answer
    x = 119,254.55

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Why These Related Problems?

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