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Finding the Third Proportional to 45,441 and 70,470

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Solution

The third proportional to 45,441 and 70,470 is: 109,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441 : 70,470 = 70,470 : x
  2. Step 2: Convert to fraction form
    45,441/70,470 = 70,470/x
  3. Step 3: Cross multiply
    45,441x = 70,470 × 70,470
  4. Step 4: Simplify right side
    45,441x = 4,966,020,900
  5. Step 5: Solve for x
    x = 4,966,020,900/45,441
  6. Step 6: Final answer
    x = 109,285.03

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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.