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Finding the Third Proportional to 7,316 and 11,317

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Solution

The third proportional to 7,316 and 11,317 is: 17,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316 : 11,317 = 11,317 : x
  2. Step 2: Convert to fraction form
    7,316/11,317 = 11,317/x
  3. Step 3: Cross multiply
    7,316x = 11,317 × 11,317
  4. Step 4: Simplify right side
    7,316x = 128,074,489
  5. Step 5: Solve for x
    x = 128,074,489/7,316
  6. Step 6: Final answer
    x = 17,506.08

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Why These Related Problems?

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