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Finding the Third Proportional to 24,480 and 54,953

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Solution

The third proportional to 24,480 and 54,953 is: 123,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480 : 54,953 = 54,953 : x
  2. Step 2: Convert to fraction form
    24,480/54,953 = 54,953/x
  3. Step 3: Cross multiply
    24,480x = 54,953 × 54,953
  4. Step 4: Simplify right side
    24,480x = 3,019,832,209
  5. Step 5: Solve for x
    x = 3,019,832,209/24,480
  6. Step 6: Final answer
    x = 123,359.16

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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.