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Finding the Third Proportional to 38,865 and 61,444.50

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Solution

The third proportional to 38,865 and 61,444.50 is: 97,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,865 : 61,444.50 = 61,444.50 : x
  2. Step 2: Convert to fraction form
    38,865/61,444.50 = 61,444.50/x
  3. Step 3: Cross multiply
    38,865x = 61,444.50 × 61,444.50
  4. Step 4: Simplify right side
    38,865x = 3,775,426,580.25
  5. Step 5: Solve for x
    x = 3,775,426,580.25/38,865
  6. Step 6: Final answer
    x = 97,142.07

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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.