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Finding the Third Proportional to 10,528 and 15,638

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Solution

The third proportional to 10,528 and 15,638 is: 23,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528 : 15,638 = 15,638 : x
  2. Step 2: Convert to fraction form
    10,528/15,638 = 15,638/x
  3. Step 3: Cross multiply
    10,528x = 15,638 × 15,638
  4. Step 4: Simplify right side
    10,528x = 244,547,044
  5. Step 5: Solve for x
    x = 244,547,044/10,528
  6. Step 6: Final answer
    x = 23,228.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.