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Finding the Third Proportional to 24,445 and 36,901.50

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Solution

The third proportional to 24,445 and 36,901.50 is: 55,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,445 : 36,901.50 = 36,901.50 : x
  2. Step 2: Convert to fraction form
    24,445/36,901.50 = 36,901.50/x
  3. Step 3: Cross multiply
    24,445x = 36,901.50 × 36,901.50
  4. Step 4: Simplify right side
    24,445x = 1,361,720,702.25
  5. Step 5: Solve for x
    x = 1,361,720,702.25/24,445
  6. Step 6: Final answer
    x = 55,705.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.