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Finding the Third Proportional to 15,248.25 and 24,346.50

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Solution

The third proportional to 15,248.25 and 24,346.50 is: 38,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,248.25 : 24,346.50 = 24,346.50 : x
  2. Step 2: Convert to fraction form
    15,248.25/24,346.50 = 24,346.50/x
  3. Step 3: Cross multiply
    15,248.25x = 24,346.50 × 24,346.50
  4. Step 4: Simplify right side
    15,248.25x = 592,752,062.25
  5. Step 5: Solve for x
    x = 592,752,062.25/15,248.25
  6. Step 6: Final answer
    x = 38,873.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.