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Finding the Third Proportional to 15,707.75 and 34,189.75

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Solution

The third proportional to 15,707.75 and 34,189.75 is: 74,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.75 : 34,189.75 = 34,189.75 : x
  2. Step 2: Convert to fraction form
    15,707.75/34,189.75 = 34,189.75/x
  3. Step 3: Cross multiply
    15,707.75x = 34,189.75 × 34,189.75
  4. Step 4: Simplify right side
    15,707.75x = 1,168,939,005.06
  5. Step 5: Solve for x
    x = 1,168,939,005.06/15,707.75
  6. Step 6: Final answer
    x = 74,417.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.