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Finding the Third Proportional to 8,925 and 13,903.50

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Solution

The third proportional to 8,925 and 13,903.50 is: 21,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925 : 13,903.50 = 13,903.50 : x
  2. Step 2: Convert to fraction form
    8,925/13,903.50 = 13,903.50/x
  3. Step 3: Cross multiply
    8,925x = 13,903.50 × 13,903.50
  4. Step 4: Simplify right side
    8,925x = 193,307,312.25
  5. Step 5: Solve for x
    x = 193,307,312.25/8,925
  6. Step 6: Final answer
    x = 21,659.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.