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Finding the Third Proportional to 12,465 and 27,357.75

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Solution

The third proportional to 12,465 and 27,357.75 is: 60,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 27,357.75 = 27,357.75 : x
  2. Step 2: Convert to fraction form
    12,465/27,357.75 = 27,357.75/x
  3. Step 3: Cross multiply
    12,465x = 27,357.75 × 27,357.75
  4. Step 4: Simplify right side
    12,465x = 748,446,485.06
  5. Step 5: Solve for x
    x = 748,446,485.06/12,465
  6. Step 6: Final answer
    x = 60,043.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.