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Finding the Third Proportional to 32,319 and 48,513.94

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Solution

The third proportional to 32,319 and 48,513.94 is: 72,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 48,513.94 = 48,513.94 : x
  2. Step 2: Convert to fraction form
    32,319/48,513.94 = 48,513.94/x
  3. Step 3: Cross multiply
    32,319x = 48,513.94 × 48,513.94
  4. Step 4: Simplify right side
    32,319x = 2,353,602,131.75
  5. Step 5: Solve for x
    x = 2,353,602,131.75/32,319
  6. Step 6: Final answer
    x = 72,824.10

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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.