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Finding the Third Proportional to 39,970.50 and 61,509.75

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Solution

The third proportional to 39,970.50 and 61,509.75 is: 94,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970.50 : 61,509.75 = 61,509.75 : x
  2. Step 2: Convert to fraction form
    39,970.50/61,509.75 = 61,509.75/x
  3. Step 3: Cross multiply
    39,970.50x = 61,509.75 × 61,509.75
  4. Step 4: Simplify right side
    39,970.50x = 3,783,449,345.06
  5. Step 5: Solve for x
    x = 3,783,449,345.06/39,970.50
  6. Step 6: Final answer
    x = 94,656.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.