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Finding the Third Proportional to 27,537 and 43,772.25

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Solution

The third proportional to 27,537 and 43,772.25 is: 69,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537 : 43,772.25 = 43,772.25 : x
  2. Step 2: Convert to fraction form
    27,537/43,772.25 = 43,772.25/x
  3. Step 3: Cross multiply
    27,537x = 43,772.25 × 43,772.25
  4. Step 4: Simplify right side
    27,537x = 1,916,009,870.06
  5. Step 5: Solve for x
    x = 1,916,009,870.06/27,537
  6. Step 6: Final answer
    x = 69,579.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.