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Finding the Third Proportional to 27,307.13 and 32,410.13

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Solution

The third proportional to 27,307.13 and 32,410.13 is: 38,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.13 : 32,410.13 = 32,410.13 : x
  2. Step 2: Convert to fraction form
    27,307.13/32,410.13 = 32,410.13/x
  3. Step 3: Cross multiply
    27,307.13x = 32,410.13 × 32,410.13
  4. Step 4: Simplify right side
    27,307.13x = 1,050,416,202.52
  5. Step 5: Solve for x
    x = 1,050,416,202.52/27,307.13
  6. Step 6: Final answer
    x = 38,466.74

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.