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Finding the Third Proportional to 10,030 and 15,590

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Solution

The third proportional to 10,030 and 15,590 is: 24,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 15,590 = 15,590 : x
  2. Step 2: Convert to fraction form
    10,030/15,590 = 15,590/x
  3. Step 3: Cross multiply
    10,030x = 15,590 × 15,590
  4. Step 4: Simplify right side
    10,030x = 243,048,100
  5. Step 5: Solve for x
    x = 243,048,100/10,030
  6. Step 6: Final answer
    x = 24,232.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.