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Finding the Third Proportional to 9,625.08 and 14,897.04

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Solution

The third proportional to 9,625.08 and 14,897.04 is: 23,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.08 : 14,897.04 = 14,897.04 : x
  2. Step 2: Convert to fraction form
    9,625.08/14,897.04 = 14,897.04/x
  3. Step 3: Cross multiply
    9,625.08x = 14,897.04 × 14,897.04
  4. Step 4: Simplify right side
    9,625.08x = 221,921,772.83
  5. Step 5: Solve for x
    x = 221,921,772.83/9,625.08
  6. Step 6: Final answer
    x = 23,056.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.