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Finding the Third Proportional to 4,570 and 7,495

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Solution

The third proportional to 4,570 and 7,495 is: 12,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 7,495 = 7,495 : x
  2. Step 2: Convert to fraction form
    4,570/7,495 = 7,495/x
  3. Step 3: Cross multiply
    4,570x = 7,495 × 7,495
  4. Step 4: Simplify right side
    4,570x = 56,175,025
  5. Step 5: Solve for x
    x = 56,175,025/4,570
  6. Step 6: Final answer
    x = 12,292.13

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.