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Finding the Third Proportional to 32,509.13 and 48,632.06

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Solution

The third proportional to 32,509.13 and 48,632.06 is: 72,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.13 : 48,632.06 = 48,632.06 : x
  2. Step 2: Convert to fraction form
    32,509.13/48,632.06 = 48,632.06/x
  3. Step 3: Cross multiply
    32,509.13x = 48,632.06 × 48,632.06
  4. Step 4: Simplify right side
    32,509.13x = 2,365,077,503.00
  5. Step 5: Solve for x
    x = 2,365,077,503.00/32,509.13
  6. Step 6: Final answer
    x = 72,751.19

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Why These Related Problems?

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