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Finding the Third Proportional to 10,484 and 15,030

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Solution

The third proportional to 10,484 and 15,030 is: 21,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 15,030 = 15,030 : x
  2. Step 2: Convert to fraction form
    10,484/15,030 = 15,030/x
  3. Step 3: Cross multiply
    10,484x = 15,030 × 15,030
  4. Step 4: Simplify right side
    10,484x = 225,900,900
  5. Step 5: Solve for x
    x = 225,900,900/10,484
  6. Step 6: Final answer
    x = 21,547.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.