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Finding the Third Proportional to 10,486.13 and 15,030.56

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Solution

The third proportional to 10,486.13 and 15,030.56 is: 21,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.13 : 15,030.56 = 15,030.56 : x
  2. Step 2: Convert to fraction form
    10,486.13/15,030.56 = 15,030.56/x
  3. Step 3: Cross multiply
    10,486.13x = 15,030.56 × 15,030.56
  4. Step 4: Simplify right side
    10,486.13x = 225,917,809.07
  5. Step 5: Solve for x
    x = 225,917,809.07/10,486.13
  6. Step 6: Final answer
    x = 21,544.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.