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Finding the Third Proportional to 48,037.64 and 68,430.45

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Solution

The third proportional to 48,037.64 and 68,430.45 is: 97,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,037.64 : 68,430.45 = 68,430.45 : x
  2. Step 2: Convert to fraction form
    48,037.64/68,430.45 = 68,430.45/x
  3. Step 3: Cross multiply
    48,037.64x = 68,430.45 × 68,430.45
  4. Step 4: Simplify right side
    48,037.64x = 4,682,725,845.67
  5. Step 5: Solve for x
    x = 4,682,725,845.67/48,037.64
  6. Step 6: Final answer
    x = 97,480.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.