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Finding the Third Proportional to 42,516 and 59,440.50

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Solution

The third proportional to 42,516 and 59,440.50 is: 83,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,516 : 59,440.50 = 59,440.50 : x
  2. Step 2: Convert to fraction form
    42,516/59,440.50 = 59,440.50/x
  3. Step 3: Cross multiply
    42,516x = 59,440.50 × 59,440.50
  4. Step 4: Simplify right side
    42,516x = 3,533,173,040.25
  5. Step 5: Solve for x
    x = 3,533,173,040.25/42,516
  6. Step 6: Final answer
    x = 83,102.20

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Why These Related Problems?

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