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Finding the Third Proportional to 13,459.98 and 28,688.36

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Solution

The third proportional to 13,459.98 and 28,688.36 is: 61,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.98 : 28,688.36 = 28,688.36 : x
  2. Step 2: Convert to fraction form
    13,459.98/28,688.36 = 28,688.36/x
  3. Step 3: Cross multiply
    13,459.98x = 28,688.36 × 28,688.36
  4. Step 4: Simplify right side
    13,459.98x = 823,021,823.55
  5. Step 5: Solve for x
    x = 823,021,823.55/13,459.98
  6. Step 6: Final answer
    x = 61,145.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.