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Finding the Third Proportional to 24,232 and 53,342

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Solution

The third proportional to 24,232 and 53,342 is: 117,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232 : 53,342 = 53,342 : x
  2. Step 2: Convert to fraction form
    24,232/53,342 = 53,342/x
  3. Step 3: Cross multiply
    24,232x = 53,342 × 53,342
  4. Step 4: Simplify right side
    24,232x = 2,845,368,964
  5. Step 5: Solve for x
    x = 2,845,368,964/24,232
  6. Step 6: Final answer
    x = 117,421.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.