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Finding the Third Proportional to 7,748 and 10,646

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Solution

The third proportional to 7,748 and 10,646 is: 14,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 10,646 = 10,646 : x
  2. Step 2: Convert to fraction form
    7,748/10,646 = 10,646/x
  3. Step 3: Cross multiply
    7,748x = 10,646 × 10,646
  4. Step 4: Simplify right side
    7,748x = 113,337,316
  5. Step 5: Solve for x
    x = 113,337,316/7,748
  6. Step 6: Final answer
    x = 14,627.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.