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Finding the Third Proportional to 27,431 and 41,530.50

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Solution

The third proportional to 27,431 and 41,530.50 is: 62,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431 : 41,530.50 = 41,530.50 : x
  2. Step 2: Convert to fraction form
    27,431/41,530.50 = 41,530.50/x
  3. Step 3: Cross multiply
    27,431x = 41,530.50 × 41,530.50
  4. Step 4: Simplify right side
    27,431x = 1,724,782,430.25
  5. Step 5: Solve for x
    x = 1,724,782,430.25/27,431
  6. Step 6: Final answer
    x = 62,877.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.