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Finding the Third Proportional to 11,319 and 23,434.50

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Solution

The third proportional to 11,319 and 23,434.50 is: 48,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319 : 23,434.50 = 23,434.50 : x
  2. Step 2: Convert to fraction form
    11,319/23,434.50 = 23,434.50/x
  3. Step 3: Cross multiply
    11,319x = 23,434.50 × 23,434.50
  4. Step 4: Simplify right side
    11,319x = 549,175,790.25
  5. Step 5: Solve for x
    x = 549,175,790.25/11,319
  6. Step 6: Final answer
    x = 48,518.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.