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Finding the Third Proportional to 24,613 and 53,572

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Solution

The third proportional to 24,613 and 53,572 is: 116,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613 : 53,572 = 53,572 : x
  2. Step 2: Convert to fraction form
    24,613/53,572 = 53,572/x
  3. Step 3: Cross multiply
    24,613x = 53,572 × 53,572
  4. Step 4: Simplify right side
    24,613x = 2,869,959,184
  5. Step 5: Solve for x
    x = 2,869,959,184/24,613
  6. Step 6: Final answer
    x = 116,603.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.