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Finding the Third Proportional to 9,913.13 and 14,595.75

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Solution

The third proportional to 9,913.13 and 14,595.75 is: 21,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.13 : 14,595.75 = 14,595.75 : x
  2. Step 2: Convert to fraction form
    9,913.13/14,595.75 = 14,595.75/x
  3. Step 3: Cross multiply
    9,913.13x = 14,595.75 × 14,595.75
  4. Step 4: Simplify right side
    9,913.13x = 213,035,918.06
  5. Step 5: Solve for x
    x = 213,035,918.06/9,913.13
  6. Step 6: Final answer
    x = 21,490.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.