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Finding the Third Proportional to 3,046 and 4,702.50

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Solution

The third proportional to 3,046 and 4,702.50 is: 7,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,702.50 = 4,702.50 : x
  2. Step 2: Convert to fraction form
    3,046/4,702.50 = 4,702.50/x
  3. Step 3: Cross multiply
    3,046x = 4,702.50 × 4,702.50
  4. Step 4: Simplify right side
    3,046x = 22,113,506.25
  5. Step 5: Solve for x
    x = 22,113,506.25/3,046
  6. Step 6: Final answer
    x = 7,259.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.