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Finding the Third Proportional to 10,047 and 14,709

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Solution

The third proportional to 10,047 and 14,709 is: 21,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047 : 14,709 = 14,709 : x
  2. Step 2: Convert to fraction form
    10,047/14,709 = 14,709/x
  3. Step 3: Cross multiply
    10,047x = 14,709 × 14,709
  4. Step 4: Simplify right side
    10,047x = 216,354,681
  5. Step 5: Solve for x
    x = 216,354,681/10,047
  6. Step 6: Final answer
    x = 21,534.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.