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Finding the Third Proportional to 15,676 and 24,209

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Solution

The third proportional to 15,676 and 24,209 is: 37,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676 : 24,209 = 24,209 : x
  2. Step 2: Convert to fraction form
    15,676/24,209 = 24,209/x
  3. Step 3: Cross multiply
    15,676x = 24,209 × 24,209
  4. Step 4: Simplify right side
    15,676x = 586,075,681
  5. Step 5: Solve for x
    x = 586,075,681/15,676
  6. Step 6: Final answer
    x = 37,386.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.