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Finding the Third Proportional to 40,261 and 59,207.50

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Solution

The third proportional to 40,261 and 59,207.50 is: 87,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,261 : 59,207.50 = 59,207.50 : x
  2. Step 2: Convert to fraction form
    40,261/59,207.50 = 59,207.50/x
  3. Step 3: Cross multiply
    40,261x = 59,207.50 × 59,207.50
  4. Step 4: Simplify right side
    40,261x = 3,505,528,056.25
  5. Step 5: Solve for x
    x = 3,505,528,056.25/40,261
  6. Step 6: Final answer
    x = 87,070.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.