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Finding the Third Proportional to 15,400.13 and 17,374.50

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Solution

The third proportional to 15,400.13 and 17,374.50 is: 19,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.13 : 17,374.50 = 17,374.50 : x
  2. Step 2: Convert to fraction form
    15,400.13/17,374.50 = 17,374.50/x
  3. Step 3: Cross multiply
    15,400.13x = 17,374.50 × 17,374.50
  4. Step 4: Simplify right side
    15,400.13x = 301,873,250.25
  5. Step 5: Solve for x
    x = 301,873,250.25/15,400.13
  6. Step 6: Final answer
    x = 19,602

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.