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Finding the Third Proportional to 4,859 and 10,513

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Solution

The third proportional to 4,859 and 10,513 is: 22,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859 : 10,513 = 10,513 : x
  2. Step 2: Convert to fraction form
    4,859/10,513 = 10,513/x
  3. Step 3: Cross multiply
    4,859x = 10,513 × 10,513
  4. Step 4: Simplify right side
    4,859x = 110,523,169
  5. Step 5: Solve for x
    x = 110,523,169/4,859
  6. Step 6: Final answer
    x = 22,746.07

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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.