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Finding the Third Proportional to 3,000.38 and 4,746.94

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Solution

The third proportional to 3,000.38 and 4,746.94 is: 7,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.38 : 4,746.94 = 4,746.94 : x
  2. Step 2: Convert to fraction form
    3,000.38/4,746.94 = 4,746.94/x
  3. Step 3: Cross multiply
    3,000.38x = 4,746.94 × 4,746.94
  4. Step 4: Simplify right side
    3,000.38x = 22,533,415.63
  5. Step 5: Solve for x
    x = 22,533,415.63/3,000.38
  6. Step 6: Final answer
    x = 7,510.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.