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Finding the Third Proportional to 13,051 and 28,526

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Solution

The third proportional to 13,051 and 28,526 is: 62,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051 : 28,526 = 28,526 : x
  2. Step 2: Convert to fraction form
    13,051/28,526 = 28,526/x
  3. Step 3: Cross multiply
    13,051x = 28,526 × 28,526
  4. Step 4: Simplify right side
    13,051x = 813,732,676
  5. Step 5: Solve for x
    x = 813,732,676/13,051
  6. Step 6: Final answer
    x = 62,350.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.