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Finding the Third Proportional to 35,038.50 and 78,848.25

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Solution

The third proportional to 35,038.50 and 78,848.25 is: 177,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,038.50 : 78,848.25 = 78,848.25 : x
  2. Step 2: Convert to fraction form
    35,038.50/78,848.25 = 78,848.25/x
  3. Step 3: Cross multiply
    35,038.50x = 78,848.25 × 78,848.25
  4. Step 4: Simplify right side
    35,038.50x = 6,217,046,528.06
  5. Step 5: Solve for x
    x = 6,217,046,528.06/35,038.50
  6. Step 6: Final answer
    x = 177,434.72

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.