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Finding the Third Proportional to 15,678 and 24,590.25

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Solution

The third proportional to 15,678 and 24,590.25 is: 38,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 24,590.25 = 24,590.25 : x
  2. Step 2: Convert to fraction form
    15,678/24,590.25 = 24,590.25/x
  3. Step 3: Cross multiply
    15,678x = 24,590.25 × 24,590.25
  4. Step 4: Simplify right side
    15,678x = 604,680,395.06
  5. Step 5: Solve for x
    x = 604,680,395.06/15,678
  6. Step 6: Final answer
    x = 38,568.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.