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Finding the Third Proportional to 24,312 and 32,004

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Solution

The third proportional to 24,312 and 32,004 is: 42,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 32,004 = 32,004 : x
  2. Step 2: Convert to fraction form
    24,312/32,004 = 32,004/x
  3. Step 3: Cross multiply
    24,312x = 32,004 × 32,004
  4. Step 4: Simplify right side
    24,312x = 1,024,256,016
  5. Step 5: Solve for x
    x = 1,024,256,016/24,312
  6. Step 6: Final answer
    x = 42,129.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.