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Finding the Third Proportional to 38,646 and 61,240.50

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Solution

The third proportional to 38,646 and 61,240.50 is: 97,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646 : 61,240.50 = 61,240.50 : x
  2. Step 2: Convert to fraction form
    38,646/61,240.50 = 61,240.50/x
  3. Step 3: Cross multiply
    38,646x = 61,240.50 × 61,240.50
  4. Step 4: Simplify right side
    38,646x = 3,750,398,840.25
  5. Step 5: Solve for x
    x = 3,750,398,840.25/38,646
  6. Step 6: Final answer
    x = 97,044.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.