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Finding the Third Proportional to 25,772.63 and 28,486.13

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Solution

The third proportional to 25,772.63 and 28,486.13 is: 31,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.63 : 28,486.13 = 28,486.13 : x
  2. Step 2: Convert to fraction form
    25,772.63/28,486.13 = 28,486.13/x
  3. Step 3: Cross multiply
    25,772.63x = 28,486.13 × 28,486.13
  4. Step 4: Simplify right side
    25,772.63x = 811,459,317.52
  5. Step 5: Solve for x
    x = 811,459,317.52/25,772.63
  6. Step 6: Final answer
    x = 31,485.32

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.