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Finding the Third Proportional to 24,746 and 53,377

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Solution

The third proportional to 24,746 and 53,377 is: 115,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746 : 53,377 = 53,377 : x
  2. Step 2: Convert to fraction form
    24,746/53,377 = 53,377/x
  3. Step 3: Cross multiply
    24,746x = 53,377 × 53,377
  4. Step 4: Simplify right side
    24,746x = 2,849,104,129
  5. Step 5: Solve for x
    x = 2,849,104,129/24,746
  6. Step 6: Final answer
    x = 115,133.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.