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Finding the Third Proportional to 10,655.30 and 15,776.44

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Solution

The third proportional to 10,655.30 and 15,776.44 is: 23,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.30 : 15,776.44 = 15,776.44 : x
  2. Step 2: Convert to fraction form
    10,655.30/15,776.44 = 15,776.44/x
  3. Step 3: Cross multiply
    10,655.30x = 15,776.44 × 15,776.44
  4. Step 4: Simplify right side
    10,655.30x = 248,895,980.19
  5. Step 5: Solve for x
    x = 248,895,980.19/10,655.30
  6. Step 6: Final answer
    x = 23,358.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.