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Finding the Third Proportional to 15,153.75 and 24,323.63

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Solution

The third proportional to 15,153.75 and 24,323.63 is: 39,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.75 : 24,323.63 = 24,323.63 : x
  2. Step 2: Convert to fraction form
    15,153.75/24,323.63 = 24,323.63/x
  3. Step 3: Cross multiply
    15,153.75x = 24,323.63 × 24,323.63
  4. Step 4: Simplify right side
    15,153.75x = 591,638,733.14
  5. Step 5: Solve for x
    x = 591,638,733.14/15,153.75
  6. Step 6: Final answer
    x = 39,042.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.