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Finding the Third Proportional to 15,527.95 and 24,088.64

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Solution

The third proportional to 15,527.95 and 24,088.64 is: 37,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.95 : 24,088.64 = 24,088.64 : x
  2. Step 2: Convert to fraction form
    15,527.95/24,088.64 = 24,088.64/x
  3. Step 3: Cross multiply
    15,527.95x = 24,088.64 × 24,088.64
  4. Step 4: Simplify right side
    15,527.95x = 580,262,607.16
  5. Step 5: Solve for x
    x = 580,262,607.16/15,527.95
  6. Step 6: Final answer
    x = 37,368.91

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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.