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Finding the Third Proportional to 2,870.02 and 4,390.03

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Solution

The third proportional to 2,870.02 and 4,390.03 is: 6,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.02 : 4,390.03 = 4,390.03 : x
  2. Step 2: Convert to fraction form
    2,870.02/4,390.03 = 4,390.03/x
  3. Step 3: Cross multiply
    2,870.02x = 4,390.03 × 4,390.03
  4. Step 4: Simplify right side
    2,870.02x = 19,272,374.38
  5. Step 5: Solve for x
    x = 19,272,374.38/2,870.02
  6. Step 6: Final answer
    x = 6,715.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.