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Finding the Third Proportional to 39,258 and 49,531.50

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Solution

The third proportional to 39,258 and 49,531.50 is: 62,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,258 : 49,531.50 = 49,531.50 : x
  2. Step 2: Convert to fraction form
    39,258/49,531.50 = 49,531.50/x
  3. Step 3: Cross multiply
    39,258x = 49,531.50 × 49,531.50
  4. Step 4: Simplify right side
    39,258x = 2,453,369,492.25
  5. Step 5: Solve for x
    x = 2,453,369,492.25/39,258
  6. Step 6: Final answer
    x = 62,493.49

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.