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Finding the Third Proportional to 24,687 and 35,277.50

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Solution

The third proportional to 24,687 and 35,277.50 is: 50,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687 : 35,277.50 = 35,277.50 : x
  2. Step 2: Convert to fraction form
    24,687/35,277.50 = 35,277.50/x
  3. Step 3: Cross multiply
    24,687x = 35,277.50 × 35,277.50
  4. Step 4: Simplify right side
    24,687x = 1,244,502,006.25
  5. Step 5: Solve for x
    x = 1,244,502,006.25/24,687
  6. Step 6: Final answer
    x = 50,411.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.