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Finding the Third Proportional to 9,748 and 15,576

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Solution

The third proportional to 9,748 and 15,576 is: 24,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748 : 15,576 = 15,576 : x
  2. Step 2: Convert to fraction form
    9,748/15,576 = 15,576/x
  3. Step 3: Cross multiply
    9,748x = 15,576 × 15,576
  4. Step 4: Simplify right side
    9,748x = 242,611,776
  5. Step 5: Solve for x
    x = 242,611,776/9,748
  6. Step 6: Final answer
    x = 24,888.36

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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.