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Finding the Third Proportional to 9,977.91 and 15,341.20

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Solution

The third proportional to 9,977.91 and 15,341.20 is: 23,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.91 : 15,341.20 = 15,341.20 : x
  2. Step 2: Convert to fraction form
    9,977.91/15,341.20 = 15,341.20/x
  3. Step 3: Cross multiply
    9,977.91x = 15,341.20 × 15,341.20
  4. Step 4: Simplify right side
    9,977.91x = 235,352,513.32
  5. Step 5: Solve for x
    x = 235,352,513.32/9,977.91
  6. Step 6: Final answer
    x = 23,587.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.