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Finding the Third Proportional to 15,349.50 and 24,019.03

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Solution

The third proportional to 15,349.50 and 24,019.03 is: 37,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.50 : 24,019.03 = 24,019.03 : x
  2. Step 2: Convert to fraction form
    15,349.50/24,019.03 = 24,019.03/x
  3. Step 3: Cross multiply
    15,349.50x = 24,019.03 × 24,019.03
  4. Step 4: Simplify right side
    15,349.50x = 576,913,862.19
  5. Step 5: Solve for x
    x = 576,913,862.19/15,349.50
  6. Step 6: Final answer
    x = 37,585.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.