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Finding the Third Proportional to 15,971 and 24,514.50

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Solution

The third proportional to 15,971 and 24,514.50 is: 37,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971 : 24,514.50 = 24,514.50 : x
  2. Step 2: Convert to fraction form
    15,971/24,514.50 = 24,514.50/x
  3. Step 3: Cross multiply
    15,971x = 24,514.50 × 24,514.50
  4. Step 4: Simplify right side
    15,971x = 600,960,710.25
  5. Step 5: Solve for x
    x = 600,960,710.25/15,971
  6. Step 6: Final answer
    x = 37,628.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.