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Finding the Third Proportional to 45,710 and 70,637

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Solution

The third proportional to 45,710 and 70,637 is: 109,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,710 : 70,637 = 70,637 : x
  2. Step 2: Convert to fraction form
    45,710/70,637 = 70,637/x
  3. Step 3: Cross multiply
    45,710x = 70,637 × 70,637
  4. Step 4: Simplify right side
    45,710x = 4,989,585,769
  5. Step 5: Solve for x
    x = 4,989,585,769/45,710
  6. Step 6: Final answer
    x = 109,157.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.