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Finding the Third Proportional to 10,054.13 and 15,655.78

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Solution

The third proportional to 10,054.13 and 15,655.78 is: 24,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.13 : 15,655.78 = 15,655.78 : x
  2. Step 2: Convert to fraction form
    10,054.13/15,655.78 = 15,655.78/x
  3. Step 3: Cross multiply
    10,054.13x = 15,655.78 × 15,655.78
  4. Step 4: Simplify right side
    10,054.13x = 245,103,486.55
  5. Step 5: Solve for x
    x = 245,103,486.55/10,054.13
  6. Step 6: Final answer
    x = 24,378.40

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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.