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Finding the Third Proportional to 4,973.63 and 10,426.50

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Solution

The third proportional to 4,973.63 and 10,426.50 is: 21,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.63 : 10,426.50 = 10,426.50 : x
  2. Step 2: Convert to fraction form
    4,973.63/10,426.50 = 10,426.50/x
  3. Step 3: Cross multiply
    4,973.63x = 10,426.50 × 10,426.50
  4. Step 4: Simplify right side
    4,973.63x = 108,711,902.25
  5. Step 5: Solve for x
    x = 108,711,902.25/4,973.63
  6. Step 6: Final answer
    x = 21,857.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.