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Finding the Third Proportional to 21,300 and 32,248.50

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Solution

The third proportional to 21,300 and 32,248.50 is: 48,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,300 : 32,248.50 = 32,248.50 : x
  2. Step 2: Convert to fraction form
    21,300/32,248.50 = 32,248.50/x
  3. Step 3: Cross multiply
    21,300x = 32,248.50 × 32,248.50
  4. Step 4: Simplify right side
    21,300x = 1,039,965,752.25
  5. Step 5: Solve for x
    x = 1,039,965,752.25/21,300
  6. Step 6: Final answer
    x = 48,824.68

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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.