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Finding the Third Proportional to 15,703 and 22,007.50

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Solution

The third proportional to 15,703 and 22,007.50 is: 30,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703 : 22,007.50 = 22,007.50 : x
  2. Step 2: Convert to fraction form
    15,703/22,007.50 = 22,007.50/x
  3. Step 3: Cross multiply
    15,703x = 22,007.50 × 22,007.50
  4. Step 4: Simplify right side
    15,703x = 484,330,056.25
  5. Step 5: Solve for x
    x = 484,330,056.25/15,703
  6. Step 6: Final answer
    x = 30,843.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.