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Finding the Third Proportional to 10,784.50 and 23,068.50

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Solution

The third proportional to 10,784.50 and 23,068.50 is: 49,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.50 : 23,068.50 = 23,068.50 : x
  2. Step 2: Convert to fraction form
    10,784.50/23,068.50 = 23,068.50/x
  3. Step 3: Cross multiply
    10,784.50x = 23,068.50 × 23,068.50
  4. Step 4: Simplify right side
    10,784.50x = 532,155,692.25
  5. Step 5: Solve for x
    x = 532,155,692.25/10,784.50
  6. Step 6: Final answer
    x = 49,344.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.