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Finding the Third Proportional to 12,506 and 26,989

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Solution

The third proportional to 12,506 and 26,989 is: 58,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506 : 26,989 = 26,989 : x
  2. Step 2: Convert to fraction form
    12,506/26,989 = 26,989/x
  3. Step 3: Cross multiply
    12,506x = 26,989 × 26,989
  4. Step 4: Simplify right side
    12,506x = 728,406,121
  5. Step 5: Solve for x
    x = 728,406,121/12,506
  6. Step 6: Final answer
    x = 58,244.53

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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.