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Finding the Third Proportional to 19,902 and 31,063.50

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Solution

The third proportional to 19,902 and 31,063.50 is: 48,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902 : 31,063.50 = 31,063.50 : x
  2. Step 2: Convert to fraction form
    19,902/31,063.50 = 31,063.50/x
  3. Step 3: Cross multiply
    19,902x = 31,063.50 × 31,063.50
  4. Step 4: Simplify right side
    19,902x = 964,941,032.25
  5. Step 5: Solve for x
    x = 964,941,032.25/19,902
  6. Step 6: Final answer
    x = 48,484.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.