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Finding the Third Proportional to 4,646.53 and 10,139.34

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Solution

The third proportional to 4,646.53 and 10,139.34 is: 22,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.53 : 10,139.34 = 10,139.34 : x
  2. Step 2: Convert to fraction form
    4,646.53/10,139.34 = 10,139.34/x
  3. Step 3: Cross multiply
    4,646.53x = 10,139.34 × 10,139.34
  4. Step 4: Simplify right side
    4,646.53x = 102,806,291.68
  5. Step 5: Solve for x
    x = 102,806,291.68/4,646.53
  6. Step 6: Final answer
    x = 22,125.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.