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Finding the Third Proportional to 38,053 and 60,769.50

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Solution

The third proportional to 38,053 and 60,769.50 is: 97,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053 : 60,769.50 = 60,769.50 : x
  2. Step 2: Convert to fraction form
    38,053/60,769.50 = 60,769.50/x
  3. Step 3: Cross multiply
    38,053x = 60,769.50 × 60,769.50
  4. Step 4: Simplify right side
    38,053x = 3,692,932,130.25
  5. Step 5: Solve for x
    x = 3,692,932,130.25/38,053
  6. Step 6: Final answer
    x = 97,047.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.