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Finding the Third Proportional to 10,945.13 and 12,160.13

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Solution

The third proportional to 10,945.13 and 12,160.13 is: 13,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.13 : 12,160.13 = 12,160.13 : x
  2. Step 2: Convert to fraction form
    10,945.13/12,160.13 = 12,160.13/x
  3. Step 3: Cross multiply
    10,945.13x = 12,160.13 × 12,160.13
  4. Step 4: Simplify right side
    10,945.13x = 147,868,640.02
  5. Step 5: Solve for x
    x = 147,868,640.02/10,945.13
  6. Step 6: Final answer
    x = 13,510.00

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.