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Finding the Third Proportional to 10,189.13 and 15,386.63

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Solution

The third proportional to 10,189.13 and 15,386.63 is: 23,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.13 : 15,386.63 = 15,386.63 : x
  2. Step 2: Convert to fraction form
    10,189.13/15,386.63 = 15,386.63/x
  3. Step 3: Cross multiply
    10,189.13x = 15,386.63 × 15,386.63
  4. Step 4: Simplify right side
    10,189.13x = 236,748,228.89
  5. Step 5: Solve for x
    x = 236,748,228.89/10,189.13
  6. Step 6: Final answer
    x = 23,235.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.