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Finding the Third Proportional to 2,430 and 4,428

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Solution

The third proportional to 2,430 and 4,428 is: 8,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 4,428 = 4,428 : x
  2. Step 2: Convert to fraction form
    2,430/4,428 = 4,428/x
  3. Step 3: Cross multiply
    2,430x = 4,428 × 4,428
  4. Step 4: Simplify right side
    2,430x = 19,607,184
  5. Step 5: Solve for x
    x = 19,607,184/2,430
  6. Step 6: Final answer
    x = 8,068.80

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.