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Finding the Third Proportional to 39,417 and 59,533.50

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Solution

The third proportional to 39,417 and 59,533.50 is: 89,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,417 : 59,533.50 = 59,533.50 : x
  2. Step 2: Convert to fraction form
    39,417/59,533.50 = 59,533.50/x
  3. Step 3: Cross multiply
    39,417x = 59,533.50 × 59,533.50
  4. Step 4: Simplify right side
    39,417x = 3,544,237,622.25
  5. Step 5: Solve for x
    x = 3,544,237,622.25/39,417
  6. Step 6: Final answer
    x = 89,916.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.