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Finding the Third Proportional to 27,152 and 47,864.50

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Solution

The third proportional to 27,152 and 47,864.50 is: 84,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152 : 47,864.50 = 47,864.50 : x
  2. Step 2: Convert to fraction form
    27,152/47,864.50 = 47,864.50/x
  3. Step 3: Cross multiply
    27,152x = 47,864.50 × 47,864.50
  4. Step 4: Simplify right side
    27,152x = 2,291,010,360.25
  5. Step 5: Solve for x
    x = 2,291,010,360.25/27,152
  6. Step 6: Final answer
    x = 84,377.22

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.