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Finding the Third Proportional to 4,565 and 9,855

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Solution

The third proportional to 4,565 and 9,855 is: 21,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 9,855 = 9,855 : x
  2. Step 2: Convert to fraction form
    4,565/9,855 = 9,855/x
  3. Step 3: Cross multiply
    4,565x = 9,855 × 9,855
  4. Step 4: Simplify right side
    4,565x = 97,121,025
  5. Step 5: Solve for x
    x = 97,121,025/4,565
  6. Step 6: Final answer
    x = 21,275.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.