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Finding the Third Proportional to 10,466 and 24,209

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Solution

The third proportional to 10,466 and 24,209 is: 55,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466 : 24,209 = 24,209 : x
  2. Step 2: Convert to fraction form
    10,466/24,209 = 24,209/x
  3. Step 3: Cross multiply
    10,466x = 24,209 × 24,209
  4. Step 4: Simplify right side
    10,466x = 586,075,681
  5. Step 5: Solve for x
    x = 586,075,681/10,466
  6. Step 6: Final answer
    x = 55,998.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.