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Finding the Third Proportional to 38,658 and 56,346

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Solution

The third proportional to 38,658 and 56,346 is: 82,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658 : 56,346 = 56,346 : x
  2. Step 2: Convert to fraction form
    38,658/56,346 = 56,346/x
  3. Step 3: Cross multiply
    38,658x = 56,346 × 56,346
  4. Step 4: Simplify right side
    38,658x = 3,174,871,716
  5. Step 5: Solve for x
    x = 3,174,871,716/38,658
  6. Step 6: Final answer
    x = 82,127.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.