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Finding the Third Proportional to 23,708 and 36,537

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Solution

The third proportional to 23,708 and 36,537 is: 56,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708 : 36,537 = 36,537 : x
  2. Step 2: Convert to fraction form
    23,708/36,537 = 36,537/x
  3. Step 3: Cross multiply
    23,708x = 36,537 × 36,537
  4. Step 4: Simplify right side
    23,708x = 1,334,952,369
  5. Step 5: Solve for x
    x = 1,334,952,369/23,708
  6. Step 6: Final answer
    x = 56,308.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.