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Finding the Third Proportional to 4,746.66 and 10,407.66

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Solution

The third proportional to 4,746.66 and 10,407.66 is: 22,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.66 : 10,407.66 = 10,407.66 : x
  2. Step 2: Convert to fraction form
    4,746.66/10,407.66 = 10,407.66/x
  3. Step 3: Cross multiply
    4,746.66x = 10,407.66 × 10,407.66
  4. Step 4: Simplify right side
    4,746.66x = 108,319,308.62
  5. Step 5: Solve for x
    x = 108,319,308.62/4,746.66
  6. Step 6: Final answer
    x = 22,820.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.