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Finding the Third Proportional to 5,585 and 7,513

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Solution

The third proportional to 5,585 and 7,513 is: 10,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585 : 7,513 = 7,513 : x
  2. Step 2: Convert to fraction form
    5,585/7,513 = 7,513/x
  3. Step 3: Cross multiply
    5,585x = 7,513 × 7,513
  4. Step 4: Simplify right side
    5,585x = 56,445,169
  5. Step 5: Solve for x
    x = 56,445,169/5,585
  6. Step 6: Final answer
    x = 10,106.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.