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Finding the Third Proportional to 9,710.13 and 14,560.13

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Solution

The third proportional to 9,710.13 and 14,560.13 is: 21,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.13 : 14,560.13 = 14,560.13 : x
  2. Step 2: Convert to fraction form
    9,710.13/14,560.13 = 14,560.13/x
  3. Step 3: Cross multiply
    9,710.13x = 14,560.13 × 14,560.13
  4. Step 4: Simplify right side
    9,710.13x = 211,997,240.02
  5. Step 5: Solve for x
    x = 211,997,240.02/9,710.13
  6. Step 6: Final answer
    x = 21,832.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.