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Finding the Third Proportional to 7,076 and 10,406

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Solution

The third proportional to 7,076 and 10,406 is: 15,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076 : 10,406 = 10,406 : x
  2. Step 2: Convert to fraction form
    7,076/10,406 = 10,406/x
  3. Step 3: Cross multiply
    7,076x = 10,406 × 10,406
  4. Step 4: Simplify right side
    7,076x = 108,284,836
  5. Step 5: Solve for x
    x = 108,284,836/7,076
  6. Step 6: Final answer
    x = 15,303.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.