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Finding the Third Proportional to 42,598.50 and 59,575.50

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Solution

The third proportional to 42,598.50 and 59,575.50 is: 83,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,598.50 : 59,575.50 = 59,575.50 : x
  2. Step 2: Convert to fraction form
    42,598.50/59,575.50 = 59,575.50/x
  3. Step 3: Cross multiply
    42,598.50x = 59,575.50 × 59,575.50
  4. Step 4: Simplify right side
    42,598.50x = 3,549,240,200.25
  5. Step 5: Solve for x
    x = 3,549,240,200.25/42,598.50
  6. Step 6: Final answer
    x = 83,318.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.