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Finding the Third Proportional to 24,898 and 53,572

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Solution

The third proportional to 24,898 and 53,572 is: 115,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898 : 53,572 = 53,572 : x
  2. Step 2: Convert to fraction form
    24,898/53,572 = 53,572/x
  3. Step 3: Cross multiply
    24,898x = 53,572 × 53,572
  4. Step 4: Simplify right side
    24,898x = 2,869,959,184
  5. Step 5: Solve for x
    x = 2,869,959,184/24,898
  6. Step 6: Final answer
    x = 115,268.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.