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Finding the Third Proportional to 10,573.88 and 14,784.19

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Solution

The third proportional to 10,573.88 and 14,784.19 is: 20,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.88 : 14,784.19 = 14,784.19 : x
  2. Step 2: Convert to fraction form
    10,573.88/14,784.19 = 14,784.19/x
  3. Step 3: Cross multiply
    10,573.88x = 14,784.19 × 14,784.19
  4. Step 4: Simplify right side
    10,573.88x = 218,572,200.04
  5. Step 5: Solve for x
    x = 218,572,200.04/10,573.88
  6. Step 6: Final answer
    x = 20,670.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.