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Finding the Third Proportional to 24,490 and 54,970

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Solution

The third proportional to 24,490 and 54,970 is: 123,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,490 : 54,970 = 54,970 : x
  2. Step 2: Convert to fraction form
    24,490/54,970 = 54,970/x
  3. Step 3: Cross multiply
    24,490x = 54,970 × 54,970
  4. Step 4: Simplify right side
    24,490x = 3,021,700,900
  5. Step 5: Solve for x
    x = 3,021,700,900/24,490
  6. Step 6: Final answer
    x = 123,385.09

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.