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Finding the Third Proportional to 8,403.75 and 14,848.31

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Solution

The third proportional to 8,403.75 and 14,848.31 is: 26,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.75 : 14,848.31 = 14,848.31 : x
  2. Step 2: Convert to fraction form
    8,403.75/14,848.31 = 14,848.31/x
  3. Step 3: Cross multiply
    8,403.75x = 14,848.31 × 14,848.31
  4. Step 4: Simplify right side
    8,403.75x = 220,472,384.10
  5. Step 5: Solve for x
    x = 220,472,384.10/8,403.75
  6. Step 6: Final answer
    x = 26,235.00

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.