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Finding the Third Proportional to 9,688 and 15,532

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Solution

The third proportional to 9,688 and 15,532 is: 24,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688 : 15,532 = 15,532 : x
  2. Step 2: Convert to fraction form
    9,688/15,532 = 15,532/x
  3. Step 3: Cross multiply
    9,688x = 15,532 × 15,532
  4. Step 4: Simplify right side
    9,688x = 241,243,024
  5. Step 5: Solve for x
    x = 241,243,024/9,688
  6. Step 6: Final answer
    x = 24,901.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.