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Finding the Third Proportional to 21,294 and 32,236.50

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Solution

The third proportional to 21,294 and 32,236.50 is: 48,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294 : 32,236.50 = 32,236.50 : x
  2. Step 2: Convert to fraction form
    21,294/32,236.50 = 32,236.50/x
  3. Step 3: Cross multiply
    21,294x = 32,236.50 × 32,236.50
  4. Step 4: Simplify right side
    21,294x = 1,039,191,932.25
  5. Step 5: Solve for x
    x = 1,039,191,932.25/21,294
  6. Step 6: Final answer
    x = 48,802.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.