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Finding the Third Proportional to 39,970.50 and 60,058.50

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Solution

The third proportional to 39,970.50 and 60,058.50 is: 90,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970.50 : 60,058.50 = 60,058.50 : x
  2. Step 2: Convert to fraction form
    39,970.50/60,058.50 = 60,058.50/x
  3. Step 3: Cross multiply
    39,970.50x = 60,058.50 × 60,058.50
  4. Step 4: Simplify right side
    39,970.50x = 3,607,023,422.25
  5. Step 5: Solve for x
    x = 3,607,023,422.25/39,970.50
  6. Step 6: Final answer
    x = 90,242.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.