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Finding the Third Proportional to 38,386 and 56,480

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Solution

The third proportional to 38,386 and 56,480 is: 83,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,386 : 56,480 = 56,480 : x
  2. Step 2: Convert to fraction form
    38,386/56,480 = 56,480/x
  3. Step 3: Cross multiply
    38,386x = 56,480 × 56,480
  4. Step 4: Simplify right side
    38,386x = 3,189,990,400
  5. Step 5: Solve for x
    x = 3,189,990,400/38,386
  6. Step 6: Final answer
    x = 83,102.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.