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Finding the Third Proportional to 24,575 and 36,987

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Solution

The third proportional to 24,575 and 36,987 is: 55,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575 : 36,987 = 36,987 : x
  2. Step 2: Convert to fraction form
    24,575/36,987 = 36,987/x
  3. Step 3: Cross multiply
    24,575x = 36,987 × 36,987
  4. Step 4: Simplify right side
    24,575x = 1,368,038,169
  5. Step 5: Solve for x
    x = 1,368,038,169/24,575
  6. Step 6: Final answer
    x = 55,667.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.