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Finding the Third Proportional to 27,254.81 and 58,451.63

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Solution

The third proportional to 27,254.81 and 58,451.63 is: 125,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254.81 : 58,451.63 = 58,451.63 : x
  2. Step 2: Convert to fraction form
    27,254.81/58,451.63 = 58,451.63/x
  3. Step 3: Cross multiply
    27,254.81x = 58,451.63 × 58,451.63
  4. Step 4: Simplify right side
    27,254.81x = 3,416,592,465.14
  5. Step 5: Solve for x
    x = 3,416,592,465.14/27,254.81
  6. Step 6: Final answer
    x = 125,357.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.