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Finding the Third Proportional to 5,700 and 9,886.50

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Solution

The third proportional to 5,700 and 9,886.50 is: 17,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 9,886.50 = 9,886.50 : x
  2. Step 2: Convert to fraction form
    5,700/9,886.50 = 9,886.50/x
  3. Step 3: Cross multiply
    5,700x = 9,886.50 × 9,886.50
  4. Step 4: Simplify right side
    5,700x = 97,742,882.25
  5. Step 5: Solve for x
    x = 97,742,882.25/5,700
  6. Step 6: Final answer
    x = 17,147.87

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.