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Finding the Third Proportional to 9,046 and 9,910

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Solution

The third proportional to 9,046 and 9,910 is: 10,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046 : 9,910 = 9,910 : x
  2. Step 2: Convert to fraction form
    9,046/9,910 = 9,910/x
  3. Step 3: Cross multiply
    9,046x = 9,910 × 9,910
  4. Step 4: Simplify right side
    9,046x = 98,208,100
  5. Step 5: Solve for x
    x = 98,208,100/9,046
  6. Step 6: Final answer
    x = 10,856.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.