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Finding the Third Proportional to 7,918.17 and 10,688.20

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Solution

The third proportional to 7,918.17 and 10,688.20 is: 14,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.17 : 10,688.20 = 10,688.20 : x
  2. Step 2: Convert to fraction form
    7,918.17/10,688.20 = 10,688.20/x
  3. Step 3: Cross multiply
    7,918.17x = 10,688.20 × 10,688.20
  4. Step 4: Simplify right side
    7,918.17x = 114,237,686.04
  5. Step 5: Solve for x
    x = 114,237,686.04/7,918.17
  6. Step 6: Final answer
    x = 14,427.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.