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Finding the Third Proportional to 13,725 and 19,444.50

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Solution

The third proportional to 13,725 and 19,444.50 is: 27,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 19,444.50 = 19,444.50 : x
  2. Step 2: Convert to fraction form
    13,725/19,444.50 = 19,444.50/x
  3. Step 3: Cross multiply
    13,725x = 19,444.50 × 19,444.50
  4. Step 4: Simplify right side
    13,725x = 378,088,580.25
  5. Step 5: Solve for x
    x = 378,088,580.25/13,725
  6. Step 6: Final answer
    x = 27,547.44

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.