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Finding the Third Proportional to 10,688.63 and 16,097.06

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Solution

The third proportional to 10,688.63 and 16,097.06 is: 24,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.63 : 16,097.06 = 16,097.06 : x
  2. Step 2: Convert to fraction form
    10,688.63/16,097.06 = 16,097.06/x
  3. Step 3: Cross multiply
    10,688.63x = 16,097.06 × 16,097.06
  4. Step 4: Simplify right side
    10,688.63x = 259,115,421.13
  5. Step 5: Solve for x
    x = 259,115,421.13/10,688.63
  6. Step 6: Final answer
    x = 24,242.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.