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Finding the Third Proportional to 10,607.63 and 16,421.06

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Solution

The third proportional to 10,607.63 and 16,421.06 is: 25,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.63 : 16,421.06 = 16,421.06 : x
  2. Step 2: Convert to fraction form
    10,607.63/16,421.06 = 16,421.06/x
  3. Step 3: Cross multiply
    10,607.63x = 16,421.06 × 16,421.06
  4. Step 4: Simplify right side
    10,607.63x = 269,651,293.63
  5. Step 5: Solve for x
    x = 269,651,293.63/10,607.63
  6. Step 6: Final answer
    x = 25,420.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.