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Finding the Third Proportional to 48,294 and 73,876.13

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Solution

The third proportional to 48,294 and 73,876.13 is: 113,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,294 : 73,876.13 = 73,876.13 : x
  2. Step 2: Convert to fraction form
    48,294/73,876.13 = 73,876.13/x
  3. Step 3: Cross multiply
    48,294x = 73,876.13 × 73,876.13
  4. Step 4: Simplify right side
    48,294x = 5,457,681,845.02
  5. Step 5: Solve for x
    x = 5,457,681,845.02/48,294
  6. Step 6: Final answer
    x = 113,009.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.