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Finding the Third Proportional to 21,927 and 32,071.50

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Solution

The third proportional to 21,927 and 32,071.50 is: 46,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927 : 32,071.50 = 32,071.50 : x
  2. Step 2: Convert to fraction form
    21,927/32,071.50 = 32,071.50/x
  3. Step 3: Cross multiply
    21,927x = 32,071.50 × 32,071.50
  4. Step 4: Simplify right side
    21,927x = 1,028,581,112.25
  5. Step 5: Solve for x
    x = 1,028,581,112.25/21,927
  6. Step 6: Final answer
    x = 46,909.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.