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Finding the Third Proportional to 10,688.63 and 14,254.31

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Solution

The third proportional to 10,688.63 and 14,254.31 is: 19,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.63 : 14,254.31 = 14,254.31 : x
  2. Step 2: Convert to fraction form
    10,688.63/14,254.31 = 14,254.31/x
  3. Step 3: Cross multiply
    10,688.63x = 14,254.31 × 14,254.31
  4. Step 4: Simplify right side
    10,688.63x = 203,185,424.85
  5. Step 5: Solve for x
    x = 203,185,424.85/10,688.63
  6. Step 6: Final answer
    x = 19,009.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.