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Finding the Third Proportional to 39,258 and 56,072.50

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Solution

The third proportional to 39,258 and 56,072.50 is: 80,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,258 : 56,072.50 = 56,072.50 : x
  2. Step 2: Convert to fraction form
    39,258/56,072.50 = 56,072.50/x
  3. Step 3: Cross multiply
    39,258x = 56,072.50 × 56,072.50
  4. Step 4: Simplify right side
    39,258x = 3,144,125,256.25
  5. Step 5: Solve for x
    x = 3,144,125,256.25/39,258
  6. Step 6: Final answer
    x = 80,088.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.