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Finding the Third Proportional to 4,725 and 5,585.63

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Solution

The third proportional to 4,725 and 5,585.63 is: 6,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725 : 5,585.63 = 5,585.63 : x
  2. Step 2: Convert to fraction form
    4,725/5,585.63 = 5,585.63/x
  3. Step 3: Cross multiply
    4,725x = 5,585.63 × 5,585.63
  4. Step 4: Simplify right side
    4,725x = 31,199,206.64
  5. Step 5: Solve for x
    x = 31,199,206.64/4,725
  6. Step 6: Final answer
    x = 6,603.01

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.