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Finding the Third Proportional to 6,528.38 and 15,779.81

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Solution

The third proportional to 6,528.38 and 15,779.81 is: 38,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.38 : 15,779.81 = 15,779.81 : x
  2. Step 2: Convert to fraction form
    6,528.38/15,779.81 = 15,779.81/x
  3. Step 3: Cross multiply
    6,528.38x = 15,779.81 × 15,779.81
  4. Step 4: Simplify right side
    6,528.38x = 249,002,482.54
  5. Step 5: Solve for x
    x = 249,002,482.54/6,528.38
  6. Step 6: Final answer
    x = 38,141.57

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.