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Finding the Third Proportional to 27,140.06 and 41,252.63

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Solution

The third proportional to 27,140.06 and 41,252.63 is: 62,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.06 : 41,252.63 = 41,252.63 : x
  2. Step 2: Convert to fraction form
    27,140.06/41,252.63 = 41,252.63/x
  3. Step 3: Cross multiply
    27,140.06x = 41,252.63 × 41,252.63
  4. Step 4: Simplify right side
    27,140.06x = 1,701,779,069.39
  5. Step 5: Solve for x
    x = 1,701,779,069.39/27,140.06
  6. Step 6: Final answer
    x = 62,703.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.