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Finding the Third Proportional to 44,932.50 and 70,452

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Solution

The third proportional to 44,932.50 and 70,452 is: 110,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,932.50 : 70,452 = 70,452 : x
  2. Step 2: Convert to fraction form
    44,932.50/70,452 = 70,452/x
  3. Step 3: Cross multiply
    44,932.50x = 70,452 × 70,452
  4. Step 4: Simplify right side
    44,932.50x = 4,963,484,304
  5. Step 5: Solve for x
    x = 4,963,484,304/44,932.50
  6. Step 6: Final answer
    x = 110,465.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.