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Finding the Third Proportional to 21,043.50 and 32,830.50

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Solution

The third proportional to 21,043.50 and 32,830.50 is: 51,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.50 : 32,830.50 = 32,830.50 : x
  2. Step 2: Convert to fraction form
    21,043.50/32,830.50 = 32,830.50/x
  3. Step 3: Cross multiply
    21,043.50x = 32,830.50 × 32,830.50
  4. Step 4: Simplify right side
    21,043.50x = 1,077,841,730.25
  5. Step 5: Solve for x
    x = 1,077,841,730.25/21,043.50
  6. Step 6: Final answer
    x = 51,219.70

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