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Finding the Third Proportional to 15,005 and 23,729

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Solution

The third proportional to 15,005 and 23,729 is: 37,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005 : 23,729 = 23,729 : x
  2. Step 2: Convert to fraction form
    15,005/23,729 = 23,729/x
  3. Step 3: Cross multiply
    15,005x = 23,729 × 23,729
  4. Step 4: Simplify right side
    15,005x = 563,065,441
  5. Step 5: Solve for x
    x = 563,065,441/15,005
  6. Step 6: Final answer
    x = 37,525.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.