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Finding the Third Proportional to 23,604 and 36,840

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Solution

The third proportional to 23,604 and 36,840 is: 57,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604 : 36,840 = 36,840 : x
  2. Step 2: Convert to fraction form
    23,604/36,840 = 36,840/x
  3. Step 3: Cross multiply
    23,604x = 36,840 × 36,840
  4. Step 4: Simplify right side
    23,604x = 1,357,185,600
  5. Step 5: Solve for x
    x = 1,357,185,600/23,604
  6. Step 6: Final answer
    x = 57,498.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.