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Finding the Third Proportional to 30,705 and 47,415

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Solution

The third proportional to 30,705 and 47,415 is: 73,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705 : 47,415 = 47,415 : x
  2. Step 2: Convert to fraction form
    30,705/47,415 = 47,415/x
  3. Step 3: Cross multiply
    30,705x = 47,415 × 47,415
  4. Step 4: Simplify right side
    30,705x = 2,248,182,225
  5. Step 5: Solve for x
    x = 2,248,182,225/30,705
  6. Step 6: Final answer
    x = 73,218.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.