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Finding the Third Proportional to 27,284.25 and 42,051.75

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Solution

The third proportional to 27,284.25 and 42,051.75 is: 64,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.25 : 42,051.75 = 42,051.75 : x
  2. Step 2: Convert to fraction form
    27,284.25/42,051.75 = 42,051.75/x
  3. Step 3: Cross multiply
    27,284.25x = 42,051.75 × 42,051.75
  4. Step 4: Simplify right side
    27,284.25x = 1,768,349,678.06
  5. Step 5: Solve for x
    x = 1,768,349,678.06/27,284.25
  6. Step 6: Final answer
    x = 64,812.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.