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Finding the Third Proportional to 15,714 and 24,117.75

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Solution

The third proportional to 15,714 and 24,117.75 is: 37,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 24,117.75 = 24,117.75 : x
  2. Step 2: Convert to fraction form
    15,714/24,117.75 = 24,117.75/x
  3. Step 3: Cross multiply
    15,714x = 24,117.75 × 24,117.75
  4. Step 4: Simplify right side
    15,714x = 581,665,865.06
  5. Step 5: Solve for x
    x = 581,665,865.06/15,714
  6. Step 6: Final answer
    x = 37,015.77

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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.