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Finding the Third Proportional to 5,702.63 and 9,139.50

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Solution

The third proportional to 5,702.63 and 9,139.50 is: 14,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.63 : 9,139.50 = 9,139.50 : x
  2. Step 2: Convert to fraction form
    5,702.63/9,139.50 = 9,139.50/x
  3. Step 3: Cross multiply
    5,702.63x = 9,139.50 × 9,139.50
  4. Step 4: Simplify right side
    5,702.63x = 83,530,460.25
  5. Step 5: Solve for x
    x = 83,530,460.25/5,702.63
  6. Step 6: Final answer
    x = 14,647.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.