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Finding the Third Proportional to 44,521 and 68,461.50

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Solution

The third proportional to 44,521 and 68,461.50 is: 105,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,521 : 68,461.50 = 68,461.50 : x
  2. Step 2: Convert to fraction form
    44,521/68,461.50 = 68,461.50/x
  3. Step 3: Cross multiply
    44,521x = 68,461.50 × 68,461.50
  4. Step 4: Simplify right side
    44,521x = 4,686,976,982.25
  5. Step 5: Solve for x
    x = 4,686,976,982.25/44,521
  6. Step 6: Final answer
    x = 105,275.64

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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.