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Finding the Third Proportional to 24,672 and 53,952

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Solution

The third proportional to 24,672 and 53,952 is: 117,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672 : 53,952 = 53,952 : x
  2. Step 2: Convert to fraction form
    24,672/53,952 = 53,952/x
  3. Step 3: Cross multiply
    24,672x = 53,952 × 53,952
  4. Step 4: Simplify right side
    24,672x = 2,910,818,304
  5. Step 5: Solve for x
    x = 2,910,818,304/24,672
  6. Step 6: Final answer
    x = 117,980.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.