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Finding the Third Proportional to 7,507 and 15,335

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Solution

The third proportional to 7,507 and 15,335 is: 31,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507 : 15,335 = 15,335 : x
  2. Step 2: Convert to fraction form
    7,507/15,335 = 15,335/x
  3. Step 3: Cross multiply
    7,507x = 15,335 × 15,335
  4. Step 4: Simplify right side
    7,507x = 235,162,225
  5. Step 5: Solve for x
    x = 235,162,225/7,507
  6. Step 6: Final answer
    x = 31,325.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.