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Finding the Third Proportional to 42,697.76 and 59,715.35

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Solution

The third proportional to 42,697.76 and 59,715.35 is: 83,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,697.76 : 59,715.35 = 59,715.35 : x
  2. Step 2: Convert to fraction form
    42,697.76/59,715.35 = 59,715.35/x
  3. Step 3: Cross multiply
    42,697.76x = 59,715.35 × 59,715.35
  4. Step 4: Simplify right side
    42,697.76x = 3,565,923,212.23
  5. Step 5: Solve for x
    x = 3,565,923,212.23/42,697.76
  6. Step 6: Final answer
    x = 83,515.47

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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.