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Finding the Third Proportional to 13,475.38 and 28,347.13

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Solution

The third proportional to 13,475.38 and 28,347.13 is: 59,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.38 : 28,347.13 = 28,347.13 : x
  2. Step 2: Convert to fraction form
    13,475.38/28,347.13 = 28,347.13/x
  3. Step 3: Cross multiply
    13,475.38x = 28,347.13 × 28,347.13
  4. Step 4: Simplify right side
    13,475.38x = 803,559,495.77
  5. Step 5: Solve for x
    x = 803,559,495.77/13,475.38
  6. Step 6: Final answer
    x = 59,631.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.